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 = 5
5 + -2 + -3x + 2x = 8

Combine like terms: 5 + -2 = 3
3 + -3x + 2x = 8

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

Solving
3 + -1x = 8

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 8 + -3
-1x = 8 + -3

Combine like terms: 8 + -3 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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