2x+14=3x-24

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Solution for 2x+14=3x-24 equation:


Simplifying
2x + 14 = 3x + -24

Reorder the terms:
14 + 2x = 3x + -24

Reorder the terms:
14 + 2x = -24 + 3x

Solving
14 + 2x = -24 + 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.
14 + 2x + -3x = -24 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -24 + 0
14 + -1x = -24

Add '-14' to each side of the equation.
14 + -14 + -1x = -24 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -24 + -14
-1x = -24 + -14

Combine like terms: -24 + -14 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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