3(x+1)+30=15(x-5)

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Solution for 3(x+1)+30=15(x-5) equation: 


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

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

Reorder the terms:
3 + 30 + 3x = 15(x + -5)

Combine like terms: 3 + 30 = 33
33 + 3x = 15(x + -5)

Reorder the terms:
33 + 3x = 15(-5 + x)
33 + 3x = (-5 * 15 + x * 15)
33 + 3x = (-75 + 15x)

Solving
33 + 3x = -75 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
33 + 3x + -15x = -75 + 15x + -15x

Combine like terms: 3x + -15x = -12x
33 + -12x = -75 + 15x + -15x

Combine like terms: 15x + -15x = 0
33 + -12x = -75 + 0
33 + -12x = -75

Add '-33' to each side of the equation.
33 + -33 + -12x = -75 + -33

Combine like terms: 33 + -33 = 0
0 + -12x = -75 + -33
-12x = -75 + -33

Combine like terms: -75 + -33 = -108
-12x = -108

Divide each side by '-12'.
x = 9

Simplifying
x = 9

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