20(6x+7)=-5(x-5)

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Solution for 20(6x+7)=-5(x-5) equation:


Simplifying
20(6x + 7) = -5(x + -5)

Reorder the terms:
20(7 + 6x) = -5(x + -5)
(7 * 20 + 6x * 20) = -5(x + -5)
(140 + 120x) = -5(x + -5)

Reorder the terms:
140 + 120x = -5(-5 + x)
140 + 120x = (-5 * -5 + x * -5)
140 + 120x = (25 + -5x)

Solving
140 + 120x = 25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
140 + 120x + 5x = 25 + -5x + 5x

Combine like terms: 120x + 5x = 125x
140 + 125x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
140 + 125x = 25 + 0
140 + 125x = 25

Add '-140' to each side of the equation.
140 + -140 + 125x = 25 + -140

Combine like terms: 140 + -140 = 0
0 + 125x = 25 + -140
125x = 25 + -140

Combine like terms: 25 + -140 = -115
125x = -115

Divide each side by '125'.
x = -0.92

Simplifying
x = -0.92

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