2(4x-9)-3(6x+4)=-80

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Solution for 2(4x-9)-3(6x+4)=-80 equation: 


Simplifying
2(4x + -9) + -3(6x + 4) = -80

Reorder the terms:
2(-9 + 4x) + -3(6x + 4) = -80
(-9 * 2 + 4x * 2) + -3(6x + 4) = -80
(-18 + 8x) + -3(6x + 4) = -80

Reorder the terms:
-18 + 8x + -3(4 + 6x) = -80
-18 + 8x + (4 * -3 + 6x * -3) = -80
-18 + 8x + (-12 + -18x) = -80

Reorder the terms:
-18 + -12 + 8x + -18x = -80

Combine like terms: -18 + -12 = -30
-30 + 8x + -18x = -80

Combine like terms: 8x + -18x = -10x
-30 + -10x = -80

Solving
-30 + -10x = -80

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -10x = -80 + 30

Combine like terms: -30 + 30 = 0
0 + -10x = -80 + 30
-10x = -80 + 30

Combine like terms: -80 + 30 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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