3(2x-4)-5(1-4x)=-121

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Solution for 3(2x-4)-5(1-4x)=-121 equation:


Simplifying
3(2x + -4) + -5(1 + -4x) = -121

Reorder the terms:
3(-4 + 2x) + -5(1 + -4x) = -121
(-4 * 3 + 2x * 3) + -5(1 + -4x) = -121
(-12 + 6x) + -5(1 + -4x) = -121
-12 + 6x + (1 * -5 + -4x * -5) = -121
-12 + 6x + (-5 + 20x) = -121

Reorder the terms:
-12 + -5 + 6x + 20x = -121

Combine like terms: -12 + -5 = -17
-17 + 6x + 20x = -121

Combine like terms: 6x + 20x = 26x
-17 + 26x = -121

Solving
-17 + 26x = -121

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 26x = -121 + 17

Combine like terms: -17 + 17 = 0
0 + 26x = -121 + 17
26x = -121 + 17

Combine like terms: -121 + 17 = -104
26x = -104

Divide each side by '26'.
x = -4

Simplifying
x = -4

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