3(x+2)-7=13-2(x+2)

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Solution for 3(x+2)-7=13-2(x+2) equation: 


Simplifying
3(x + 2) + -7 = 13 + -2(x + 2)

Reorder the terms:
3(2 + x) + -7 = 13 + -2(x + 2)
(2 * 3 + x * 3) + -7 = 13 + -2(x + 2)
(6 + 3x) + -7 = 13 + -2(x + 2)

Reorder the terms:
6 + -7 + 3x = 13 + -2(x + 2)

Combine like terms: 6 + -7 = -1
-1 + 3x = 13 + -2(x + 2)

Reorder the terms:
-1 + 3x = 13 + -2(2 + x)
-1 + 3x = 13 + (2 * -2 + x * -2)
-1 + 3x = 13 + (-4 + -2x)

Combine like terms: 13 + -4 = 9
-1 + 3x = 9 + -2x

Solving
-1 + 3x = 9 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-1 + 3x + 2x = 9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-1 + 5x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 5x = 9 + 0
-1 + 5x = 9

Add '1' to each side of the equation.
-1 + 1 + 5x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 9 + 1
5x = 9 + 1

Combine like terms: 9 + 1 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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