12-3(x-4)+11(x+2)=102

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Solution for 12-3(x-4)+11(x+2)=102 equation: 


Simplifying
12 + -3(x + -4) + 11(x + 2) = 102

Reorder the terms:
12 + -3(-4 + x) + 11(x + 2) = 102
12 + (-4 * -3 + x * -3) + 11(x + 2) = 102
12 + (12 + -3x) + 11(x + 2) = 102

Reorder the terms:
12 + 12 + -3x + 11(2 + x) = 102
12 + 12 + -3x + (2 * 11 + x * 11) = 102
12 + 12 + -3x + (22 + 11x) = 102

Reorder the terms:
12 + 12 + 22 + -3x + 11x = 102

Combine like terms: 12 + 12 = 24
24 + 22 + -3x + 11x = 102

Combine like terms: 24 + 22 = 46
46 + -3x + 11x = 102

Combine like terms: -3x + 11x = 8x
46 + 8x = 102

Solving
46 + 8x = 102

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + 8x = 102 + -46

Combine like terms: 46 + -46 = 0
0 + 8x = 102 + -46
8x = 102 + -46

Combine like terms: 102 + -46 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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