4x-2(1-x)=2(4x-3)

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Solution for 4x-2(1-x)=2(4x-3) equation:


Simplifying
4x + -2(1 + -1x) = 2(4x + -3)
4x + (1 * -2 + -1x * -2) = 2(4x + -3)
4x + (-2 + 2x) = 2(4x + -3)

Reorder the terms:
-2 + 4x + 2x = 2(4x + -3)

Combine like terms: 4x + 2x = 6x
-2 + 6x = 2(4x + -3)

Reorder the terms:
-2 + 6x = 2(-3 + 4x)
-2 + 6x = (-3 * 2 + 4x * 2)
-2 + 6x = (-6 + 8x)

Solving
-2 + 6x = -6 + 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.
-2 + 6x + -8x = -6 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-2 + -2x = -6 + 0
-2 + -2x = -6

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

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

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

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

Simplifying
x = 2

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