2(x-4)-3(x+4)=-50

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Solution for 2(x-4)-3(x+4)=-50 equation: 


Simplifying
2(x + -4) + -3(x + 4) = -50

Reorder the terms:
2(-4 + x) + -3(x + 4) = -50
(-4 * 2 + x * 2) + -3(x + 4) = -50
(-8 + 2x) + -3(x + 4) = -50

Reorder the terms:
-8 + 2x + -3(4 + x) = -50
-8 + 2x + (4 * -3 + x * -3) = -50
-8 + 2x + (-12 + -3x) = -50

Reorder the terms:
-8 + -12 + 2x + -3x = -50

Combine like terms: -8 + -12 = -20
-20 + 2x + -3x = -50

Combine like terms: 2x + -3x = -1x
-20 + -1x = -50

Solving
-20 + -1x = -50

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + -1x = -50 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -50 + 20
-1x = -50 + 20

Combine like terms: -50 + 20 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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