4x-2(x-4)=-6+4x+10

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Solution for 4x-2(x-4)=-6+4x+10 equation: 


Simplifying
4x + -2(x + -4) = -6 + 4x + 10

Reorder the terms:
4x + -2(-4 + x) = -6 + 4x + 10
4x + (-4 * -2 + x * -2) = -6 + 4x + 10
4x + (8 + -2x) = -6 + 4x + 10

Reorder the terms:
8 + 4x + -2x = -6 + 4x + 10

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

Reorder the terms:
8 + 2x = -6 + 10 + 4x

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

Solving
8 + 2x = 4 + 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.
8 + 2x + -4x = 4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -2x = 4 + 0
8 + -2x = 4

Add '-8' to each side of the equation.
8 + -8 + -2x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 4 + -8
-2x = 4 + -8

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

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

Simplifying
x = 2

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