x+42=3x-16

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Solution for x+42=3x-16 equation:


Simplifying
x + 42 = 3x + -16

Reorder the terms:
42 + x = 3x + -16

Reorder the terms:
42 + x = -16 + 3x

Solving
42 + x = -16 + 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 + x + -3x = -16 + 3x + -3x

Combine like terms: x + -3x = -2x
42 + -2x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + -2x = -16 + 0
42 + -2x = -16

Add '-42' to each side of the equation.
42 + -42 + -2x = -16 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = -16 + -42
-2x = -16 + -42

Combine like terms: -16 + -42 = -58
-2x = -58

Divide each side by '-2'.
x = 29

Simplifying
x = 29

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