2x-30=6x+42

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Solution for 2x-30=6x+42 equation:


Simplifying
2x + -30 = 6x + 42

Reorder the terms:
-30 + 2x = 6x + 42

Reorder the terms:
-30 + 2x = 42 + 6x

Solving
-30 + 2x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 2x + -6x = 42 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-30 + -4x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + -4x = 42 + 0
-30 + -4x = 42

Add '30' to each side of the equation.
-30 + 30 + -4x = 42 + 30

Combine like terms: -30 + 30 = 0
0 + -4x = 42 + 30
-4x = 42 + 30

Combine like terms: 42 + 30 = 72
-4x = 72

Divide each side by '-4'.
x = -18

Simplifying
x = -18

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