10-(4x-8)=7-5x

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Solution for 10-(4x-8)=7-5x equation:


Simplifying
10 + -1(4x + -8) = 7 + -5x

Reorder the terms:
10 + -1(-8 + 4x) = 7 + -5x
10 + (-8 * -1 + 4x * -1) = 7 + -5x
10 + (8 + -4x) = 7 + -5x

Combine like terms: 10 + 8 = 18
18 + -4x = 7 + -5x

Solving
18 + -4x = 7 + -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.
18 + -4x + 5x = 7 + -5x + 5x

Combine like terms: -4x + 5x = 1x
18 + 1x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + 1x = 7 + 0
18 + 1x = 7

Add '-18' to each side of the equation.
18 + -18 + 1x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 7 + -18
1x = 7 + -18

Combine like terms: 7 + -18 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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