2(3x+4)+4+2(x-6)+6=92

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Solution for 2(3x+4)+4+2(x-6)+6=92 equation:


Simplifying
2(3x + 4) + 4 + 2(x + -6) + 6 = 92

Reorder the terms:
2(4 + 3x) + 4 + 2(x + -6) + 6 = 92
(4 * 2 + 3x * 2) + 4 + 2(x + -6) + 6 = 92
(8 + 6x) + 4 + 2(x + -6) + 6 = 92

Reorder the terms:
8 + 6x + 4 + 2(-6 + x) + 6 = 92
8 + 6x + 4 + (-6 * 2 + x * 2) + 6 = 92
8 + 6x + 4 + (-12 + 2x) + 6 = 92

Reorder the terms:
8 + 4 + -12 + 6 + 6x + 2x = 92

Combine like terms: 8 + 4 = 12
12 + -12 + 6 + 6x + 2x = 92

Combine like terms: 12 + -12 = 0
0 + 6 + 6x + 2x = 92
6 + 6x + 2x = 92

Combine like terms: 6x + 2x = 8x
6 + 8x = 92

Solving
6 + 8x = 92

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 8x = 92 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 92 + -6
8x = 92 + -6

Combine like terms: 92 + -6 = 86
8x = 86

Divide each side by '8'.
x = 10.75

Simplifying
x = 10.75

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