4(x+7)+82=12x+14

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Solution for 4(x+7)+82=12x+14 equation:


Simplifying
4(x + 7) + 82 = 12x + 14

Reorder the terms:
4(7 + x) + 82 = 12x + 14
(7 * 4 + x * 4) + 82 = 12x + 14
(28 + 4x) + 82 = 12x + 14

Reorder the terms:
28 + 82 + 4x = 12x + 14

Combine like terms: 28 + 82 = 110
110 + 4x = 12x + 14

Reorder the terms:
110 + 4x = 14 + 12x

Solving
110 + 4x = 14 + 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.
110 + 4x + -12x = 14 + 12x + -12x

Combine like terms: 4x + -12x = -8x
110 + -8x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
110 + -8x = 14 + 0
110 + -8x = 14

Add '-110' to each side of the equation.
110 + -110 + -8x = 14 + -110

Combine like terms: 110 + -110 = 0
0 + -8x = 14 + -110
-8x = 14 + -110

Combine like terms: 14 + -110 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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