2x+28=3x-14

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Solution for 2x+28=3x-14 equation:


Simplifying
2x + 28 = 3x + -14

Reorder the terms:
28 + 2x = 3x + -14

Reorder the terms:
28 + 2x = -14 + 3x

Solving
28 + 2x = -14 + 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.
28 + 2x + -3x = -14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
28 + -1x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -1x = -14 + 0
28 + -1x = -14

Add '-28' to each side of the equation.
28 + -28 + -1x = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = -14 + -28
-1x = -14 + -28

Combine like terms: -14 + -28 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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