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

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


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

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

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

Reorder the terms:
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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