-2(x+2)+7=3(x+6)

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Solution for -2(x+2)+7=3(x+6) equation:


Simplifying
-2(x + 2) + 7 = 3(x + 6)

Reorder the terms:
-2(2 + x) + 7 = 3(x + 6)
(2 * -2 + x * -2) + 7 = 3(x + 6)
(-4 + -2x) + 7 = 3(x + 6)

Reorder the terms:
-4 + 7 + -2x = 3(x + 6)

Combine like terms: -4 + 7 = 3
3 + -2x = 3(x + 6)

Reorder the terms:
3 + -2x = 3(6 + x)
3 + -2x = (6 * 3 + x * 3)
3 + -2x = (18 + 3x)

Solving
3 + -2x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -2x + -3x = 18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
3 + -5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -5x = 18 + 0
3 + -5x = 18

Add '-3' to each side of the equation.
3 + -3 + -5x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 18 + -3
-5x = 18 + -3

Combine like terms: 18 + -3 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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