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

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


Simplifying
10(5 + -2x) = -8x + 2
(5 * 10 + -2x * 10) = -8x + 2
(50 + -20x) = -8x + 2

Reorder the terms:
50 + -20x = 2 + -8x

Solving
50 + -20x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
50 + -20x + 8x = 2 + -8x + 8x

Combine like terms: -20x + 8x = -12x
50 + -12x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
50 + -12x = 2 + 0
50 + -12x = 2

Add '-50' to each side of the equation.
50 + -50 + -12x = 2 + -50

Combine like terms: 50 + -50 = 0
0 + -12x = 2 + -50
-12x = 2 + -50

Combine like terms: 2 + -50 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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