2(x-8)-3(x-2)=-24

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Solution for 2(x-8)-3(x-2)=-24 equation: 


Simplifying
2(x + -8) + -3(x + -2) = -24

Reorder the terms:
2(-8 + x) + -3(x + -2) = -24
(-8 * 2 + x * 2) + -3(x + -2) = -24
(-16 + 2x) + -3(x + -2) = -24

Reorder the terms:
-16 + 2x + -3(-2 + x) = -24
-16 + 2x + (-2 * -3 + x * -3) = -24
-16 + 2x + (6 + -3x) = -24

Reorder the terms:
-16 + 6 + 2x + -3x = -24

Combine like terms: -16 + 6 = -10
-10 + 2x + -3x = -24

Combine like terms: 2x + -3x = -1x
-10 + -1x = -24

Solving
-10 + -1x = -24

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -1x = -24 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -24 + 10
-1x = -24 + 10

Combine like terms: -24 + 10 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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