10-4(x-1)=2-x

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Solution for 10-4(x-1)=2-x equation:


Simplifying
10 + -4(x + -1) = 2 + -1x

Reorder the terms:
10 + -4(-1 + x) = 2 + -1x
10 + (-1 * -4 + x * -4) = 2 + -1x
10 + (4 + -4x) = 2 + -1x

Combine like terms: 10 + 4 = 14
14 + -4x = 2 + -1x

Solving
14 + -4x = 2 + -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.
14 + -4x + x = 2 + -1x + x

Combine like terms: -4x + x = -3x
14 + -3x = 2 + -1x + x

Combine like terms: -1x + x = 0
14 + -3x = 2 + 0
14 + -3x = 2

Add '-14' to each side of the equation.
14 + -14 + -3x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 2 + -14
-3x = 2 + -14

Combine like terms: 2 + -14 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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