6x+42=3x+78

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Solution for 6x+42=3x+78 equation:


Simplifying
6x + 42 = 3x + 78

Reorder the terms:
42 + 6x = 3x + 78

Reorder the terms:
42 + 6x = 78 + 3x

Solving
42 + 6x = 78 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + 6x + -3x = 78 + 3x + -3x

Combine like terms: 6x + -3x = 3x
42 + 3x = 78 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + 3x = 78 + 0
42 + 3x = 78

Add '-42' to each side of the equation.
42 + -42 + 3x = 78 + -42

Combine like terms: 42 + -42 = 0
0 + 3x = 78 + -42
3x = 78 + -42

Combine like terms: 78 + -42 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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