4(5+x)=5(4x-1)-87

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Solution for 4(5+x)=5(4x-1)-87 equation:


Simplifying
4(5 + x) = 5(4x + -1) + -87
(5 * 4 + x * 4) = 5(4x + -1) + -87
(20 + 4x) = 5(4x + -1) + -87

Reorder the terms:
20 + 4x = 5(-1 + 4x) + -87
20 + 4x = (-1 * 5 + 4x * 5) + -87
20 + 4x = (-5 + 20x) + -87

Reorder the terms:
20 + 4x = -5 + -87 + 20x

Combine like terms: -5 + -87 = -92
20 + 4x = -92 + 20x

Solving
20 + 4x = -92 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
20 + 4x + -20x = -92 + 20x + -20x

Combine like terms: 4x + -20x = -16x
20 + -16x = -92 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -16x = -92 + 0
20 + -16x = -92

Add '-20' to each side of the equation.
20 + -20 + -16x = -92 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -92 + -20
-16x = -92 + -20

Combine like terms: -92 + -20 = -112
-16x = -112

Divide each side by '-16'.
x = 7

Simplifying
x = 7

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