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

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


Simplifying
2(14 + -2x) + 12 = 10(12 + -2x)
(14 * 2 + -2x * 2) + 12 = 10(12 + -2x)
(28 + -4x) + 12 = 10(12 + -2x)

Reorder the terms:
28 + 12 + -4x = 10(12 + -2x)

Combine like terms: 28 + 12 = 40
40 + -4x = 10(12 + -2x)
40 + -4x = (12 * 10 + -2x * 10)
40 + -4x = (120 + -20x)

Solving
40 + -4x = 120 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
40 + -4x + 20x = 120 + -20x + 20x

Combine like terms: -4x + 20x = 16x
40 + 16x = 120 + -20x + 20x

Combine like terms: -20x + 20x = 0
40 + 16x = 120 + 0
40 + 16x = 120

Add '-40' to each side of the equation.
40 + -40 + 16x = 120 + -40

Combine like terms: 40 + -40 = 0
0 + 16x = 120 + -40
16x = 120 + -40

Combine like terms: 120 + -40 = 80
16x = 80

Divide each side by '16'.
x = 5

Simplifying
x = 5

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