QuestionSolve the equation: $3(x+3)+x = 2x+15$ . Fill in missing terms and simplify fractions. Find $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(x+3)+x =x+15$ . We need to solve for $x$

STEP 2

First, we need to distribute the to both $x$ and in the parentheses on the left side of the equation.
$(x+)+x =x +* + x$

STEP 3

implify the left side of the equation.
$3x +3*3 + x =3x +9 + x$

STEP 4

Combine like terms on the left side of the equation.
$3x +9 + x =4x +9$

STEP 5

Now, we have the equation $4x +9 =2x +15$ . To isolate $x$ , we need to subtract $2x$ from both sides of the equation.
$4x +9 -2x =2x +15 -2x$

STEP 6

implify both sides of the equation.
$4x +9 -2x =2x$ $2x +9 =15$

STEP 7

Next, subtract $9$ from both sides of the equation to isolate $2x$ on one side.
$2x +9 -9 =15 -9$

STEP 8

implify both sides of the equation.
$2x =15 -$ $2x =6$

STEP 9

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$x =2x /2$ $x =6 /2$

STEP 10

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

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