4(5+x)=5(4x-1)-7

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Solution for 4(5+x)=5(4x-1)-7 equation: 


Simplifying
4(5 + x) = 5(4x + -1) + -7
(5 * 4 + x * 4) = 5(4x + -1) + -7
(20 + 4x) = 5(4x + -1) + -7

Reorder the terms:
20 + 4x = 5(-1 + 4x) + -7
20 + 4x = (-1 * 5 + 4x * 5) + -7
20 + 4x = (-5 + 20x) + -7

Reorder the terms:
20 + 4x = -5 + -7 + 20x

Combine like terms: -5 + -7 = -12
20 + 4x = -12 + 20x

Solving
20 + 4x = -12 + 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 = -12 + 20x + -20x

Combine like terms: 4x + -20x = -16x
20 + -16x = -12 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -16x = -12 + 0
20 + -16x = -12

Add '-20' to each side of the equation.
20 + -20 + -16x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -12 + -20
-16x = -12 + -20

Combine like terms: -12 + -20 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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