[2x-2(x-1)]5=4-x

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


Simplifying
[2x + -2(x + -1)] * 5 = 4 + -1x

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

Reorder the terms:
[2 + 2x + -2x] * 5 = 4 + -1x

Combine like terms: 2x + -2x = 0
[2 + 0] * 5 = 4 + -1x
[2] * 5 = 4 + -1x

Multiply 2 * 5
10 = 4 + -1x

Solving
10 = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + x = 4 + -1x + x

Combine like terms: -1x + x = 0
10 + x = 4 + 0
10 + x = 4

Add '-10' to each side of the equation.
10 + -10 + x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + x = 4 + -10
x = 4 + -10

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

Simplifying
x = -6

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