10(x+2)+4(x-4)=2x-2

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Solution for 10(x+2)+4(x-4)=2x-2 equation:


Simplifying
10(x + 2) + 4(x + -4) = 2x + -2

Reorder the terms:
10(2 + x) + 4(x + -4) = 2x + -2
(2 * 10 + x * 10) + 4(x + -4) = 2x + -2
(20 + 10x) + 4(x + -4) = 2x + -2

Reorder the terms:
20 + 10x + 4(-4 + x) = 2x + -2
20 + 10x + (-4 * 4 + x * 4) = 2x + -2
20 + 10x + (-16 + 4x) = 2x + -2

Reorder the terms:
20 + -16 + 10x + 4x = 2x + -2

Combine like terms: 20 + -16 = 4
4 + 10x + 4x = 2x + -2

Combine like terms: 10x + 4x = 14x
4 + 14x = 2x + -2

Reorder the terms:
4 + 14x = -2 + 2x

Solving
4 + 14x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 14x + -2x = -2 + 2x + -2x

Combine like terms: 14x + -2x = 12x
4 + 12x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 12x = -2 + 0
4 + 12x = -2

Add '-4' to each side of the equation.
4 + -4 + 12x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = -2 + -4
12x = -2 + -4

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

Divide each side by '12'.
x = -0.5

Simplifying
x = -0.5

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