5(4+x)=3(4x-1)-19

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Solution for 5(4+x)=3(4x-1)-19 equation: 


Simplifying
5(4 + x) = 3(4x + -1) + -19
(4 * 5 + x * 5) = 3(4x + -1) + -19
(20 + 5x) = 3(4x + -1) + -19

Reorder the terms:
20 + 5x = 3(-1 + 4x) + -19
20 + 5x = (-1 * 3 + 4x * 3) + -19
20 + 5x = (-3 + 12x) + -19

Reorder the terms:
20 + 5x = -3 + -19 + 12x

Combine like terms: -3 + -19 = -22
20 + 5x = -22 + 12x

Solving
20 + 5x = -22 + 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 + 5x + -12x = -22 + 12x + -12x

Combine like terms: 5x + -12x = -7x
20 + -7x = -22 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -7x = -22 + 0
20 + -7x = -22

Add '-20' to each side of the equation.
20 + -20 + -7x = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -22 + -20
-7x = -22 + -20

Combine like terms: -22 + -20 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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