-2(x-5)+14=4(2x-4)

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Solution for -2(x-5)+14=4(2x-4) equation:


Simplifying
-2(x + -5) + 14 = 4(2x + -4)

Reorder the terms:
-2(-5 + x) + 14 = 4(2x + -4)
(-5 * -2 + x * -2) + 14 = 4(2x + -4)
(10 + -2x) + 14 = 4(2x + -4)

Reorder the terms:
10 + 14 + -2x = 4(2x + -4)

Combine like terms: 10 + 14 = 24
24 + -2x = 4(2x + -4)

Reorder the terms:
24 + -2x = 4(-4 + 2x)
24 + -2x = (-4 * 4 + 2x * 4)
24 + -2x = (-16 + 8x)

Solving
24 + -2x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + -2x + -8x = -16 + 8x + -8x

Combine like terms: -2x + -8x = -10x
24 + -10x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -10x = -16 + 0
24 + -10x = -16

Add '-24' to each side of the equation.
24 + -24 + -10x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -16 + -24
-10x = -16 + -24

Combine like terms: -16 + -24 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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