7x-4(2x+8)+15=12+2x-8

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Solution for 7x-4(2x+8)+15=12+2x-8 equation:


Simplifying
7x + -4(2x + 8) + 15 = 12 + 2x + -8

Reorder the terms:
7x + -4(8 + 2x) + 15 = 12 + 2x + -8
7x + (8 * -4 + 2x * -4) + 15 = 12 + 2x + -8
7x + (-32 + -8x) + 15 = 12 + 2x + -8

Reorder the terms:
-32 + 15 + 7x + -8x = 12 + 2x + -8

Combine like terms: -32 + 15 = -17
-17 + 7x + -8x = 12 + 2x + -8

Combine like terms: 7x + -8x = -1x
-17 + -1x = 12 + 2x + -8

Reorder the terms:
-17 + -1x = 12 + -8 + 2x

Combine like terms: 12 + -8 = 4
-17 + -1x = 4 + 2x

Solving
-17 + -1x = 4 + 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.
-17 + -1x + -2x = 4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-17 + -3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + -3x = 4 + 0
-17 + -3x = 4

Add '17' to each side of the equation.
-17 + 17 + -3x = 4 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = 4 + 17
-3x = 4 + 17

Combine like terms: 4 + 17 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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