2(-3x-4)=5(-2x+12)

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Solution for 2(-3x-4)=5(-2x+12) equation:


Simplifying
2(-3x + -4) = 5(-2x + 12)

Reorder the terms:
2(-4 + -3x) = 5(-2x + 12)
(-4 * 2 + -3x * 2) = 5(-2x + 12)
(-8 + -6x) = 5(-2x + 12)

Reorder the terms:
-8 + -6x = 5(12 + -2x)
-8 + -6x = (12 * 5 + -2x * 5)
-8 + -6x = (60 + -10x)

Solving
-8 + -6x = 60 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-8 + -6x + 10x = 60 + -10x + 10x

Combine like terms: -6x + 10x = 4x
-8 + 4x = 60 + -10x + 10x

Combine like terms: -10x + 10x = 0
-8 + 4x = 60 + 0
-8 + 4x = 60

Add '8' to each side of the equation.
-8 + 8 + 4x = 60 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 60 + 8
4x = 60 + 8

Combine like terms: 60 + 8 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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