82-96=-5(-4x)-8(2x)+3x

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Solution for 82-96=-5(-4x)-8(2x)+3x equation:


Simplifying
82 + -96 = -5(-4x) + -8(2x) + 3x

Combine like terms: 82 + -96 = -14
-14 = -5(-4x) + -8(2x) + 3x

Remove parenthesis around (-4x)
-14 = -5 * -4x + -8(2x) + 3x

Multiply -5 * -4
-14 = 20x + -8(2x) + 3x

Remove parenthesis around (2x)
-14 = 20x + -8 * 2x + 3x

Multiply -8 * 2
-14 = 20x + -16x + 3x

Combine like terms: 20x + -16x = 4x
-14 = 4x + 3x

Combine like terms: 4x + 3x = 7x
-14 = 7x

Solving
-14 = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-14 + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -7x = 0

Add '14' to each side of the equation.
-14 + 14 + -7x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = 0 + 14
-7x = 0 + 14

Combine like terms: 0 + 14 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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