5-2(x-1)=10-5x

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Solution for 5-2(x-1)=10-5x equation:


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

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

Combine like terms: 5 + 2 = 7
7 + -2x = 10 + -5x

Solving
7 + -2x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + -2x + 5x = 10 + -5x + 5x

Combine like terms: -2x + 5x = 3x
7 + 3x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 3x = 10 + 0
7 + 3x = 10

Add '-7' to each side of the equation.
7 + -7 + 3x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 10 + -7
3x = 10 + -7

Combine like terms: 10 + -7 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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