12(x-2)-10(x+7)=14

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Solution for 12(x-2)-10(x+7)=14 equation:


Simplifying
12(x + -2) + -10(x + 7) = 14

Reorder the terms:
12(-2 + x) + -10(x + 7) = 14
(-2 * 12 + x * 12) + -10(x + 7) = 14
(-24 + 12x) + -10(x + 7) = 14

Reorder the terms:
-24 + 12x + -10(7 + x) = 14
-24 + 12x + (7 * -10 + x * -10) = 14
-24 + 12x + (-70 + -10x) = 14

Reorder the terms:
-24 + -70 + 12x + -10x = 14

Combine like terms: -24 + -70 = -94
-94 + 12x + -10x = 14

Combine like terms: 12x + -10x = 2x
-94 + 2x = 14

Solving
-94 + 2x = 14

Solving for variable 'x'.

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

Add '94' to each side of the equation.
-94 + 94 + 2x = 14 + 94

Combine like terms: -94 + 94 = 0
0 + 2x = 14 + 94
2x = 14 + 94

Combine like terms: 14 + 94 = 108
2x = 108

Divide each side by '2'.
x = 54

Simplifying
x = 54

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