5-2x=10(2-3x)-8

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Solution for 5-2x=10(2-3x)-8 equation: 


Simplifying
5 + -2x = 10(2 + -3x) + -8
5 + -2x = (2 * 10 + -3x * 10) + -8
5 + -2x = (20 + -30x) + -8

Reorder the terms:
5 + -2x = 20 + -8 + -30x

Combine like terms: 20 + -8 = 12
5 + -2x = 12 + -30x

Solving
5 + -2x = 12 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
5 + -2x + 30x = 12 + -30x + 30x

Combine like terms: -2x + 30x = 28x
5 + 28x = 12 + -30x + 30x

Combine like terms: -30x + 30x = 0
5 + 28x = 12 + 0
5 + 28x = 12

Add '-5' to each side of the equation.
5 + -5 + 28x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 28x = 12 + -5
28x = 12 + -5

Combine like terms: 12 + -5 = 7
28x = 7

Divide each side by '28'.
x = 0.25

Simplifying
x = 0.25

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