10-(2x-5)=7-3x

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Solution for 10-(2x-5)=7-3x equation:


Simplifying
10 + -1(2x + -5) = 7 + -3x

Reorder the terms:
10 + -1(-5 + 2x) = 7 + -3x
10 + (-5 * -1 + 2x * -1) = 7 + -3x
10 + (5 + -2x) = 7 + -3x

Combine like terms: 10 + 5 = 15
15 + -2x = 7 + -3x

Solving
15 + -2x = 7 + -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.
15 + -2x + 3x = 7 + -3x + 3x

Combine like terms: -2x + 3x = 1x
15 + 1x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 1x = 7 + 0
15 + 1x = 7

Add '-15' to each side of the equation.
15 + -15 + 1x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 7 + -15
1x = 7 + -15

Combine like terms: 7 + -15 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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