Math

QuestionSolve for xx: 3(9x8)+15x=03(9x - 8) + 15x = 0.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 3(9x8)+15x=03(9x -8) +15x =0. . The variable to solve for is xx.

STEP 2

First, we need to distribute the $$ to both terms inside the parentheses.
(9x8)+15x=9x8+15x(9x -8) +15x = \cdot9x - \cdot8 +15x

STEP 3

Now, perform the multiplication to simplify the equation.
27x24+15x=027x -24 +15x =0

STEP 4

Combine like terms on the left side of the equation.
42x24=042x -24 =0

STEP 5

Next, we need to isolate xx. We can do this by adding 2424 to both sides of the equation.
42x24+24=0+2442x -24 +24 =0 +24

STEP 6

implify the equation.
42x=2442x =24

STEP 7

Finally, divide both sides of the equation by 4242 to solve for xx.
x=2442x = \frac{24}{42}

STEP 8

implify the fraction to find the value of xx.
x=47x = \frac{4}{7}So, x=47x = \frac{4}{7} is the solution to the equation.

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