5(-2x-4)-3(4x+5)=96

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Solution for 5(-2x-4)-3(4x+5)=96 equation:


Simplifying
5(-2x + -4) + -3(4x + 5) = 96

Reorder the terms:
5(-4 + -2x) + -3(4x + 5) = 96
(-4 * 5 + -2x * 5) + -3(4x + 5) = 96
(-20 + -10x) + -3(4x + 5) = 96

Reorder the terms:
-20 + -10x + -3(5 + 4x) = 96
-20 + -10x + (5 * -3 + 4x * -3) = 96
-20 + -10x + (-15 + -12x) = 96

Reorder the terms:
-20 + -15 + -10x + -12x = 96

Combine like terms: -20 + -15 = -35
-35 + -10x + -12x = 96

Combine like terms: -10x + -12x = -22x
-35 + -22x = 96

Solving
-35 + -22x = 96

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + -22x = 96 + 35

Combine like terms: -35 + 35 = 0
0 + -22x = 96 + 35
-22x = 96 + 35

Combine like terms: 96 + 35 = 131
-22x = 131

Divide each side by '-22'.
x = -5.954545455

Simplifying
x = -5.954545455

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