-2(2x-5)+8x=-2(x+2)

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Solution for -2(2x-5)+8x=-2(x+2) equation:


Simplifying
-2(2x + -5) + 8x = -2(x + 2)

Reorder the terms:
-2(-5 + 2x) + 8x = -2(x + 2)
(-5 * -2 + 2x * -2) + 8x = -2(x + 2)
(10 + -4x) + 8x = -2(x + 2)

Combine like terms: -4x + 8x = 4x
10 + 4x = -2(x + 2)

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

Solving
10 + 4x = -4 + -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.
10 + 4x + 2x = -4 + -2x + 2x

Combine like terms: 4x + 2x = 6x
10 + 6x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 6x = -4 + 0
10 + 6x = -4

Add '-10' to each side of the equation.
10 + -10 + 6x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -4 + -10
6x = -4 + -10

Combine like terms: -4 + -10 = -14
6x = -14

Divide each side by '6'.
x = -2.333333333

Simplifying
x = -2.333333333

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