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QuestionSolve the equation: 9x−3=3(2x+5)9x - 3 = 3(2x + 5).

Studdy Solution

STEP 1

Assumptions1. The equation is 9x−3=3(x+5)9x -3 =3(x +5). We are solving for xx

STEP 2

First, we need to distribute the $$ on the right side of the equation.
(2x+5)=⋅2x+⋅5(2x +5) = \cdot2x + \cdot5

STEP 3

Now, calculate the distributed values.
3⋅2x+3⋅5=6x+153 \cdot2x +3 \cdot5 =6x +15

STEP 4

Substitute the calculated value back into the equation.
9x−3=6x+159x -3 =6x +15

STEP 5

Next, we need to isolate xx on one side of the equation. We can do this by subtracting xx from both sides of the equation.
9x−x−3=x−x+159x -x -3 =x -x +15

STEP 6

implify the equation.
3x−3=153x -3 =15

STEP 7

To further isolate xx, we can add 33 to both sides of the equation.
3x−3+3=15+33x -3 +3 =15 +3

STEP 8

implify the equation.
3x=183x =18

STEP 9

Finally, to solve for xx, we can divide both sides of the equation by 33.
x=183x = \frac{18}{3}

STEP 10

Calculate the value of xx.
x=183=6x = \frac{18}{3} =6So, the solution to the equation 9x−3=3(2x+5)9x -3 =3(2x +5) is x=6x =6.

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