QuestionSolve for $b$ in the equation $2(6 b+8)=6 b+4$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $(6b+8)=6b+4$ . We are asked to solve for $b$

STEP 2

First, we need to distribute the $2$ on the left side of the equation.
$2(6b+8) =2 \\times6b +2 \\times8$

STEP 3

Now, plug in the values to calculate the left side of the equation.
$2 \\times6b +2 \\times8 =12b +16$

STEP 4

Now, we replace the left side of the original equation with the result from the previous step.
$12b +16 =6b +4$

STEP 5

Next, we need to isolate $b$ by getting all terms with $b$ on one side of the equation and the constants on the other side. We can do this by subtracting $b$ from both sides.
$12b -b =b -b +4$

STEP 6

Now, simplify both sides of the equation.
$6b =4$

STEP 7

Finally, to solve for $b$ , we divide both sides of the equation by $6$ .
$b = \frac{4}{6}$

STEP 8

implify the fraction to get the final solution.
$b = \frac{2}{3}$ So, the solution to the equation $2(6b+8)=6b+4$ is $b = \frac{2}{3}$ .

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QuestionSolve for $b$ in the equation $2(6 b+8)=6 b+4$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $(6b+8)=6b+4$ . We are asked to solve for $b$

STEP 2

First, we need to distribute the $2$ on the left side of the equation.
$2(6b+8) =2 \\times6b +2 \\times8$

STEP 3

Now, plug in the values to calculate the left side of the equation.
$2 \\times6b +2 \\times8 =12b +16$

STEP 4

Now, we replace the left side of the original equation with the result from the previous step.
$12b +16 =6b +4$

STEP 5

Next, we need to isolate $b$ by getting all terms with $b$ on one side of the equation and the constants on the other side. We can do this by subtracting $b$ from both sides.
$12b -b =b -b +4$

STEP 6

Now, simplify both sides of the equation.
$6b =4$

STEP 7

Finally, to solve for $b$ , we divide both sides of the equation by $6$ .
$b = \frac{4}{6}$

STEP 8

implify the fraction to get the final solution.
$b = \frac{2}{3}$ So, the solution to the equation $2(6b+8)=6b+4$ is $b = \frac{2}{3}$ .

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QuestionSolve for bbb in the equation 2(6b+8)=6b+42(6 b+8)=6 b+42(6b+8)=6b+4.

Studdy Solution

STEP 1

Assumptions1. We are given the equation (6b+8)=6b+4(6b+8)=6b+4(6b+8)=6b+4 . We are asked to solve for bbb

STEP 2

First, we need to distribute the 222 on the left side of the equation.2(6b+8)=2times6b+2times82(6b+8) =2 \\times6b +2 \\times82(6b+8)=2times6b+2times8

STEP 3

Now, plug in the values to calculate the left side of the equation.2times6b+2times8=12b+162 \\times6b +2 \\times8 =12b +162times6b+2times8=12b+16

STEP 4

Now, we replace the left side of the original equation with the result from the previous step.12b+16=6b+412b +16 =6b +412b+16=6b+4

STEP 5

Next, we need to isolate bbb by getting all terms with bbb on one side of the equation and the constants on the other side. We can do this by subtracting bbb from both sides.12b−b=b−b+412b -b =b -b +412b−b=b−b+4

STEP 6

Now, simplify both sides of the equation.6b=46b =46b=4

STEP 7

Finally, to solve for bbb, we divide both sides of the equation by 666.b=46b = \frac{4}{6}b=64​

STEP 8

implify the fraction to get the final solution.b=23b = \frac{2}{3}b=32​So, the solution to the equation 2(6b+8)=6b+42(6b+8)=6b+42(6b+8)=6b+4 is b=23b = \frac{2}{3}b=32​.

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QuestionSolve for $b$ in the equation $2(6 b+8)=6 b+4$ .

Assumptions1. We are given the equation $(6b+8)=6b+4$ . We are asked to solve for $b$

First, we need to distribute the $2$ on the left side of the equation.
$2(6b+8) =2 \\times6b +2 \\times8$

Now, plug in the values to calculate the left side of the equation.
$2 \\times6b +2 \\times8 =12b +16$

Now, we replace the left side of the original equation with the result from the previous step.
$12b +16 =6b +4$

Next, we need to isolate $b$ by getting all terms with $b$ on one side of the equation and the constants on the other side. We can do this by subtracting $b$ from both sides.
$12b -b =b -b +4$

Now, simplify both sides of the equation.
$6b =4$

Finally, to solve for $b$ , we divide both sides of the equation by $6$ .
$b = \frac{4}{6}$

implify the fraction to get the final solution.
$b = \frac{2}{3}$ So, the solution to the equation $2(6b+8)=6b+4$ is $b = \frac{2}{3}$ .