Math

QuestionSolve for xx in the equation: 2(x+2)7=3-2(x+2)-7=-3.

Studdy Solution

STEP 1

Assumptions1. We are given the equation (x+)7=3-(x+)-7=-3 . We need to solve this equation for xx

STEP 2

First, distribute the 2-2 across the terms inside the parentheses.
2(x+2)7=2x47=-2(x+2)-7=- \Rightarrow -2x -4 -7 = -

STEP 3

Combine like terms on the left side of the equation.
2x7=32x11=3-2x - -7 = -3 \Rightarrow -2x -11 = -3

STEP 4

Add 1111 to both sides of the equation to isolate the 2x-2x term on the left side.
2x11=32x11+11=3+11-2x -11 = -3 \Rightarrow -2x -11 +11 = -3 +11

STEP 5

implify both sides of the equation.
2x11+11=3+112x=8-2x -11 +11 = -3 +11 \Rightarrow -2x =8

STEP 6

Divide both sides of the equation by 2-2 to solve for xx.
2x=82x/2=8/2-2x =8 \Rightarrow -2x/-2 =8/-2

STEP 7

implify both sides of the equation to find the value of xx.
2x/2=/2x=4-2x/-2 =/-2 \Rightarrow x = -4So, the solution to the equation 2(x+2)7=3-2(x+2)-7=-3 is x=4x = -4.

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