3x-2(x-5)=10-x

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Solution for 3x-2(x-5)=10-x equation:


Simplifying
3x + -2(x + -5) = 10 + -1x

Reorder the terms:
3x + -2(-5 + x) = 10 + -1x
3x + (-5 * -2 + x * -2) = 10 + -1x
3x + (10 + -2x) = 10 + -1x

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

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

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

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

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

Solving
1x = -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.
1x + x = -1x + x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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