4(x+7)=12(x-5)+8

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Solution for 4(x+7)=12(x-5)+8 equation: 


Simplifying
4(x + 7) = 12(x + -5) + 8

Reorder the terms:
4(7 + x) = 12(x + -5) + 8
(7 * 4 + x * 4) = 12(x + -5) + 8
(28 + 4x) = 12(x + -5) + 8

Reorder the terms:
28 + 4x = 12(-5 + x) + 8
28 + 4x = (-5 * 12 + x * 12) + 8
28 + 4x = (-60 + 12x) + 8

Reorder the terms:
28 + 4x = -60 + 8 + 12x

Combine like terms: -60 + 8 = -52
28 + 4x = -52 + 12x

Solving
28 + 4x = -52 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 4x + -12x = -52 + 12x + -12x

Combine like terms: 4x + -12x = -8x
28 + -8x = -52 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -8x = -52 + 0
28 + -8x = -52

Add '-28' to each side of the equation.
28 + -28 + -8x = -52 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -52 + -28
-8x = -52 + -28

Combine like terms: -52 + -28 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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