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

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


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

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

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

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

Solving
-8 + 10x = -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.
-8 + 10x + -2x = -4 + 2x + -2x

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

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

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

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

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

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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