5(x-1)-(1+x)=2(x-1)-4(1-x)

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Solution for 5(x-1)-(1+x)=2(x-1)-4(1-x) equation:


Simplifying
5(x + -1) + -1(1 + x) = 2(x + -1) + -4(1 + -1x)

Reorder the terms:
5(-1 + x) + -1(1 + x) = 2(x + -1) + -4(1 + -1x)
(-1 * 5 + x * 5) + -1(1 + x) = 2(x + -1) + -4(1 + -1x)
(-5 + 5x) + -1(1 + x) = 2(x + -1) + -4(1 + -1x)
-5 + 5x + (1 * -1 + x * -1) = 2(x + -1) + -4(1 + -1x)
-5 + 5x + (-1 + -1x) = 2(x + -1) + -4(1 + -1x)

Reorder the terms:
-5 + -1 + 5x + -1x = 2(x + -1) + -4(1 + -1x)

Combine like terms: -5 + -1 = -6
-6 + 5x + -1x = 2(x + -1) + -4(1 + -1x)

Combine like terms: 5x + -1x = 4x
-6 + 4x = 2(x + -1) + -4(1 + -1x)

Reorder the terms:
-6 + 4x = 2(-1 + x) + -4(1 + -1x)
-6 + 4x = (-1 * 2 + x * 2) + -4(1 + -1x)
-6 + 4x = (-2 + 2x) + -4(1 + -1x)
-6 + 4x = -2 + 2x + (1 * -4 + -1x * -4)
-6 + 4x = -2 + 2x + (-4 + 4x)

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

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

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

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

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

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

Solving
4x = 6x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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