5(3+x)=3(4x-1)-38

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Solution for 5(3+x)=3(4x-1)-38 equation: 


Simplifying
5(3 + x) = 3(4x + -1) + -38
(3 * 5 + x * 5) = 3(4x + -1) + -38
(15 + 5x) = 3(4x + -1) + -38

Reorder the terms:
15 + 5x = 3(-1 + 4x) + -38
15 + 5x = (-1 * 3 + 4x * 3) + -38
15 + 5x = (-3 + 12x) + -38

Reorder the terms:
15 + 5x = -3 + -38 + 12x

Combine like terms: -3 + -38 = -41
15 + 5x = -41 + 12x

Solving
15 + 5x = -41 + 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.
15 + 5x + -12x = -41 + 12x + -12x

Combine like terms: 5x + -12x = -7x
15 + -7x = -41 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -7x = -41 + 0
15 + -7x = -41

Add '-15' to each side of the equation.
15 + -15 + -7x = -41 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -41 + -15
-7x = -41 + -15

Combine like terms: -41 + -15 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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