4x-2(x-5)=-2+4x+8

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Solution for 4x-2(x-5)=-2+4x+8 equation: 


Simplifying
4x + -2(x + -5) = -2 + 4x + 8

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

Reorder the terms:
10 + 4x + -2x = -2 + 4x + 8

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

Reorder the terms:
10 + 2x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6
10 + 2x = 6 + 4x

Solving
10 + 2x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = 6 + 4x + -4x

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

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 6 + -10

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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