30x+45=12x-20

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Solution for 30x+45=12x-20 equation:


Simplifying
30x + 45 = 12x + -20

Reorder the terms:
45 + 30x = 12x + -20

Reorder the terms:
45 + 30x = -20 + 12x

Solving
45 + 30x = -20 + 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.
45 + 30x + -12x = -20 + 12x + -12x

Combine like terms: 30x + -12x = 18x
45 + 18x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
45 + 18x = -20 + 0
45 + 18x = -20

Add '-45' to each side of the equation.
45 + -45 + 18x = -20 + -45

Combine like terms: 45 + -45 = 0
0 + 18x = -20 + -45
18x = -20 + -45

Combine like terms: -20 + -45 = -65
18x = -65

Divide each side by '18'.
x = -3.611111111

Simplifying
x = -3.611111111

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