5(4+x)=4(4x-1)-53

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Solution for 5(4+x)=4(4x-1)-53 equation: 


Simplifying
5(4 + x) = 4(4x + -1) + -53
(4 * 5 + x * 5) = 4(4x + -1) + -53
(20 + 5x) = 4(4x + -1) + -53

Reorder the terms:
20 + 5x = 4(-1 + 4x) + -53
20 + 5x = (-1 * 4 + 4x * 4) + -53
20 + 5x = (-4 + 16x) + -53

Reorder the terms:
20 + 5x = -4 + -53 + 16x

Combine like terms: -4 + -53 = -57
20 + 5x = -57 + 16x

Solving
20 + 5x = -57 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
20 + 5x + -16x = -57 + 16x + -16x

Combine like terms: 5x + -16x = -11x
20 + -11x = -57 + 16x + -16x

Combine like terms: 16x + -16x = 0
20 + -11x = -57 + 0
20 + -11x = -57

Add '-20' to each side of the equation.
20 + -20 + -11x = -57 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = -57 + -20
-11x = -57 + -20

Combine like terms: -57 + -20 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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