2x-16=3x-42

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Solution for 2x-16=3x-42 equation:


Simplifying
2x + -16 = 3x + -42

Reorder the terms:
-16 + 2x = 3x + -42

Reorder the terms:
-16 + 2x = -42 + 3x

Solving
-16 + 2x = -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.
-16 + 2x + -3x = -42 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-16 + -1x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -1x = -42 + 0
-16 + -1x = -42

Add '16' to each side of the equation.
-16 + 16 + -1x = -42 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -42 + 16
-1x = -42 + 16

Combine like terms: -42 + 16 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26

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