-7+4(2x-6)=5(2x+3)-12

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Solution for -7+4(2x-6)=5(2x+3)-12 equation:


Simplifying
-7 + 4(2x + -6) = 5(2x + 3) + -12

Reorder the terms:
-7 + 4(-6 + 2x) = 5(2x + 3) + -12
-7 + (-6 * 4 + 2x * 4) = 5(2x + 3) + -12
-7 + (-24 + 8x) = 5(2x + 3) + -12

Combine like terms: -7 + -24 = -31
-31 + 8x = 5(2x + 3) + -12

Reorder the terms:
-31 + 8x = 5(3 + 2x) + -12
-31 + 8x = (3 * 5 + 2x * 5) + -12
-31 + 8x = (15 + 10x) + -12

Reorder the terms:
-31 + 8x = 15 + -12 + 10x

Combine like terms: 15 + -12 = 3
-31 + 8x = 3 + 10x

Solving
-31 + 8x = 3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-31 + 8x + -10x = 3 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-31 + -2x = 3 + 10x + -10x

Combine like terms: 10x + -10x = 0
-31 + -2x = 3 + 0
-31 + -2x = 3

Add '31' to each side of the equation.
-31 + 31 + -2x = 3 + 31

Combine like terms: -31 + 31 = 0
0 + -2x = 3 + 31
-2x = 3 + 31

Combine like terms: 3 + 31 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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