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

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Solution for 5-x=4(x-3)-2(x-1) equation:


Simplifying
5 + -1x = 4(x + -3) + -2(x + -1)

Reorder the terms:
5 + -1x = 4(-3 + x) + -2(x + -1)
5 + -1x = (-3 * 4 + x * 4) + -2(x + -1)
5 + -1x = (-12 + 4x) + -2(x + -1)

Reorder the terms:
5 + -1x = -12 + 4x + -2(-1 + x)
5 + -1x = -12 + 4x + (-1 * -2 + x * -2)
5 + -1x = -12 + 4x + (2 + -2x)

Reorder the terms:
5 + -1x = -12 + 2 + 4x + -2x

Combine like terms: -12 + 2 = -10
5 + -1x = -10 + 4x + -2x

Combine like terms: 4x + -2x = 2x
5 + -1x = -10 + 2x

Solving
5 + -1x = -10 + 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.
5 + -1x + -2x = -10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
5 + -3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -3x = -10 + 0
5 + -3x = -10

Add '-5' to each side of the equation.
5 + -5 + -3x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -10 + -5
-3x = -10 + -5

Combine like terms: -10 + -5 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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