3(x-4)-2(2x-5)=-20

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Solution for 3(x-4)-2(2x-5)=-20 equation: 


Simplifying
3(x + -4) + -2(2x + -5) = -20

Reorder the terms:
3(-4 + x) + -2(2x + -5) = -20
(-4 * 3 + x * 3) + -2(2x + -5) = -20
(-12 + 3x) + -2(2x + -5) = -20

Reorder the terms:
-12 + 3x + -2(-5 + 2x) = -20
-12 + 3x + (-5 * -2 + 2x * -2) = -20
-12 + 3x + (10 + -4x) = -20

Reorder the terms:
-12 + 10 + 3x + -4x = -20

Combine like terms: -12 + 10 = -2
-2 + 3x + -4x = -20

Combine like terms: 3x + -4x = -1x
-2 + -1x = -20

Solving
-2 + -1x = -20

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -1x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -20 + 2
-1x = -20 + 2

Combine like terms: -20 + 2 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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