7-5(2x-3)=5x-8

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Solution for 7-5(2x-3)=5x-8 equation:


Simplifying
7 + -5(2x + -3) = 5x + -8

Reorder the terms:
7 + -5(-3 + 2x) = 5x + -8
7 + (-3 * -5 + 2x * -5) = 5x + -8
7 + (15 + -10x) = 5x + -8

Combine like terms: 7 + 15 = 22
22 + -10x = 5x + -8

Reorder the terms:
22 + -10x = -8 + 5x

Solving
22 + -10x = -8 + 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.
22 + -10x + -5x = -8 + 5x + -5x

Combine like terms: -10x + -5x = -15x
22 + -15x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + -15x = -8 + 0
22 + -15x = -8

Add '-22' to each side of the equation.
22 + -22 + -15x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -15x = -8 + -22
-15x = -8 + -22

Combine like terms: -8 + -22 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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