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

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


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

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

Combine like terms: 8 + 15 = 23
23 + -3x = 5 + -2(x + 2)

Reorder the terms:
23 + -3x = 5 + -2(2 + x)
23 + -3x = 5 + (2 * -2 + x * -2)
23 + -3x = 5 + (-4 + -2x)

Combine like terms: 5 + -4 = 1
23 + -3x = 1 + -2x

Solving
23 + -3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
23 + -3x + 2x = 1 + -2x + 2x

Combine like terms: -3x + 2x = -1x
23 + -1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + -1x = 1 + 0
23 + -1x = 1

Add '-23' to each side of the equation.
23 + -23 + -1x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 1 + -23
-1x = 1 + -23

Combine like terms: 1 + -23 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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