4(5+x)=3(4x-1)-41

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Solution for 4(5+x)=3(4x-1)-41 equation: 


Simplifying
4(5 + x) = 3(4x + -1) + -41
(5 * 4 + x * 4) = 3(4x + -1) + -41
(20 + 4x) = 3(4x + -1) + -41

Reorder the terms:
20 + 4x = 3(-1 + 4x) + -41
20 + 4x = (-1 * 3 + 4x * 3) + -41
20 + 4x = (-3 + 12x) + -41

Reorder the terms:
20 + 4x = -3 + -41 + 12x

Combine like terms: -3 + -41 = -44
20 + 4x = -44 + 12x

Solving
20 + 4x = -44 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 4x + -12x = -44 + 12x + -12x

Combine like terms: 4x + -12x = -8x
20 + -8x = -44 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -8x = -44 + 0
20 + -8x = -44

Add '-20' to each side of the equation.
20 + -20 + -8x = -44 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -44 + -20
-8x = -44 + -20

Combine like terms: -44 + -20 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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