5x+6=3x+42

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Solution for 5x+6=3x+42 equation:


Simplifying
5x + 6 = 3x + 42

Reorder the terms:
6 + 5x = 3x + 42

Reorder the terms:
6 + 5x = 42 + 3x

Solving
6 + 5x = 42 + 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.
6 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x
6 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 2x = 42 + 0
6 + 2x = 42

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

Combine like terms: 6 + -6 = 0
0 + 2x = 42 + -6
2x = 42 + -6

Combine like terms: 42 + -6 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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