4(2+3x)=8(6+2x)+72

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Solution for 4(2+3x)=8(6+2x)+72 equation: 


Simplifying
4(2 + 3x) = 8(6 + 2x) + 72
(2 * 4 + 3x * 4) = 8(6 + 2x) + 72
(8 + 12x) = 8(6 + 2x) + 72
8 + 12x = (6 * 8 + 2x * 8) + 72
8 + 12x = (48 + 16x) + 72

Reorder the terms:
8 + 12x = 48 + 72 + 16x

Combine like terms: 48 + 72 = 120
8 + 12x = 120 + 16x

Solving
8 + 12x = 120 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + 12x + -16x = 120 + 16x + -16x

Combine like terms: 12x + -16x = -4x
8 + -4x = 120 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -4x = 120 + 0
8 + -4x = 120

Add '-8' to each side of the equation.
8 + -8 + -4x = 120 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 120 + -8
-4x = 120 + -8

Combine like terms: 120 + -8 = 112
-4x = 112

Divide each side by '-4'.
x = -28

Simplifying
x = -28

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