20-3(x-5)+2(x-1)=8

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Solution for 20-3(x-5)+2(x-1)=8 equation: 


Simplifying
20 + -3(x + -5) + 2(x + -1) = 8

Reorder the terms:
20 + -3(-5 + x) + 2(x + -1) = 8
20 + (-5 * -3 + x * -3) + 2(x + -1) = 8
20 + (15 + -3x) + 2(x + -1) = 8

Reorder the terms:
20 + 15 + -3x + 2(-1 + x) = 8
20 + 15 + -3x + (-1 * 2 + x * 2) = 8
20 + 15 + -3x + (-2 + 2x) = 8

Reorder the terms:
20 + 15 + -2 + -3x + 2x = 8

Combine like terms: 20 + 15 = 35
35 + -2 + -3x + 2x = 8

Combine like terms: 35 + -2 = 33
33 + -3x + 2x = 8

Combine like terms: -3x + 2x = -1x
33 + -1x = 8

Solving
33 + -1x = 8

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + -1x = 8 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 8 + -33
-1x = 8 + -33

Combine like terms: 8 + -33 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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