4-2(x-1)=3(2-x)-10

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Solution for 4-2(x-1)=3(2-x)-10 equation: 


Simplifying
4 + -2(x + -1) = 3(2 + -1x) + -10

Reorder the terms:
4 + -2(-1 + x) = 3(2 + -1x) + -10
4 + (-1 * -2 + x * -2) = 3(2 + -1x) + -10
4 + (2 + -2x) = 3(2 + -1x) + -10

Combine like terms: 4 + 2 = 6
6 + -2x = 3(2 + -1x) + -10
6 + -2x = (2 * 3 + -1x * 3) + -10
6 + -2x = (6 + -3x) + -10

Reorder the terms:
6 + -2x = 6 + -10 + -3x

Combine like terms: 6 + -10 = -4
6 + -2x = -4 + -3x

Solving
6 + -2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = -4 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x = -4 + 0
6 + 1x = -4

Add '-6' to each side of the equation.
6 + -6 + 1x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -4 + -6
1x = -4 + -6

Combine like terms: -4 + -6 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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