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

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


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

Reorder the terms:
2(-5 + x) + -3(x + 2) = 8
(-5 * 2 + x * 2) + -3(x + 2) = 8
(-10 + 2x) + -3(x + 2) = 8

Reorder the terms:
-10 + 2x + -3(2 + x) = 8
-10 + 2x + (2 * -3 + x * -3) = 8
-10 + 2x + (-6 + -3x) = 8

Reorder the terms:
-10 + -6 + 2x + -3x = 8

Combine like terms: -10 + -6 = -16
-16 + 2x + -3x = 8

Combine like terms: 2x + -3x = -1x
-16 + -1x = 8

Solving
-16 + -1x = 8

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 8 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 8 + 16
-1x = 8 + 16

Combine like terms: 8 + 16 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

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