5(3+x)=4(3x-1)-30

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Solution for 5(3+x)=4(3x-1)-30 equation: 


Simplifying
5(3 + x) = 4(3x + -1) + -30
(3 * 5 + x * 5) = 4(3x + -1) + -30
(15 + 5x) = 4(3x + -1) + -30

Reorder the terms:
15 + 5x = 4(-1 + 3x) + -30
15 + 5x = (-1 * 4 + 3x * 4) + -30
15 + 5x = (-4 + 12x) + -30

Reorder the terms:
15 + 5x = -4 + -30 + 12x

Combine like terms: -4 + -30 = -34
15 + 5x = -34 + 12x

Solving
15 + 5x = -34 + 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 = -34 + 12x + -12x

Combine like terms: 5x + -12x = -7x
15 + -7x = -34 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -7x = -34 + 0
15 + -7x = -34

Add '-15' to each side of the equation.
15 + -15 + -7x = -34 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -34 + -15
-7x = -34 + -15

Combine like terms: -34 + -15 = -49
-7x = -49

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

Simplifying
x = 7

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