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

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


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

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

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

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

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

Solving
4 + 1x = 10 + -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.
4 + 1x + x = 10 + -1x + x

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

Combine like terms: -1x + x = 0
4 + 2x = 10 + 0
4 + 2x = 10

Add '-4' to each side of the equation.
4 + -4 + 2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 10 + -4
2x = 10 + -4

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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