10-2x=8x-5(4-x)

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Solution for 10-2x=8x-5(4-x) equation: 


Simplifying
10 + -2x = 8x + -5(4 + -1x)
10 + -2x = 8x + (4 * -5 + -1x * -5)
10 + -2x = 8x + (-20 + 5x)

Reorder the terms:
10 + -2x = -20 + 8x + 5x

Combine like terms: 8x + 5x = 13x
10 + -2x = -20 + 13x

Solving
10 + -2x = -20 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
10 + -2x + -13x = -20 + 13x + -13x

Combine like terms: -2x + -13x = -15x
10 + -15x = -20 + 13x + -13x

Combine like terms: 13x + -13x = 0
10 + -15x = -20 + 0
10 + -15x = -20

Add '-10' to each side of the equation.
10 + -10 + -15x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -15x = -20 + -10
-15x = -20 + -10

Combine like terms: -20 + -10 = -30
-15x = -30

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

Simplifying
x = 2

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