5x+165=12x-30

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Solution for 5x+165=12x-30 equation:


Simplifying
5x + 165 = 12x + -30

Reorder the terms:
165 + 5x = 12x + -30

Reorder the terms:
165 + 5x = -30 + 12x

Solving
165 + 5x = -30 + 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.
165 + 5x + -12x = -30 + 12x + -12x

Combine like terms: 5x + -12x = -7x
165 + -7x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
165 + -7x = -30 + 0
165 + -7x = -30

Add '-165' to each side of the equation.
165 + -165 + -7x = -30 + -165

Combine like terms: 165 + -165 = 0
0 + -7x = -30 + -165
-7x = -30 + -165

Combine like terms: -30 + -165 = -195
-7x = -195

Divide each side by '-7'.
x = 27.85714286

Simplifying
x = 27.85714286

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