5x+24=7x-14

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Solution for 5x+24=7x-14 equation:


Simplifying
5x + 24 = 7x + -14

Reorder the terms:
24 + 5x = 7x + -14

Reorder the terms:
24 + 5x = -14 + 7x

Solving
24 + 5x = -14 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
24 + 5x + -7x = -14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
24 + -2x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -2x = -14 + 0
24 + -2x = -14

Add '-24' to each side of the equation.
24 + -24 + -2x = -14 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -14 + -24
-2x = -14 + -24

Combine like terms: -14 + -24 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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