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Math

QuestionSolve the equation step-by-step and simplify:
3(x+3)+x=2x+15 3(x+3)+x = 2x+15
Find xx.

Studdy Solution

STEP 1

Assumptions1. We are given an equation to solve for x. . The equation is linear and contains only one variable, x.

STEP 2

The first step is to distribute the to both terms inside the parentheses.
(x+)+x=x+∗+x(x+)+x =x +* + x

STEP 3

implify the equation.
3x+9+x=2x+153x +9 + x =2x +15

STEP 4

Combine like terms on the left side of the equation.
4x+9=2x+154x +9 =2x +15

STEP 5

To isolate x, we need to get rid of the2x on the right side. We can do this by subtracting2x from both sides of the equation.
4x−2x+9=2x−2x+154x -2x +9 =2x -2x +15

STEP 6

implify the equation.
2x+9=152x +9 =15

STEP 7

Next, we need to get rid of the9 on the left side. We can do this by subtracting9 from both sides of the equation.
2x+9−9=15−92x +9 -9 =15 -9

STEP 8

implify the equation.
2x=62x =6

STEP 9

Finally, to solve for x, we can divide both sides of the equation by2.
x=2x/2=6/2x =2x /2 =6 /2

STEP 10

implify the equation to find the value of x.
x=3x =3So, the solution to the equation is x =3.

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