5x+30=15x-45

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Solution for 5x+30=15x-45 equation: 


Simplifying
5x + 30 = 15x + -45

Reorder the terms:
30 + 5x = 15x + -45

Reorder the terms:
30 + 5x = -45 + 15x

Solving
30 + 5x = -45 + 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.
30 + 5x + -15x = -45 + 15x + -15x

Combine like terms: 5x + -15x = -10x
30 + -10x = -45 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + -10x = -45 + 0
30 + -10x = -45

Add '-30' to each side of the equation.
30 + -30 + -10x = -45 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = -45 + -30
-10x = -45 + -30

Combine like terms: -45 + -30 = -75
-10x = -75

Divide each side by '-10'.
x = 7.5

Simplifying
x = 7.5

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