(5x+18)=(7x-24)

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Solution for (5x+18)=(7x-24) equation:


Simplifying
(5x + 18) = (7x + -24)

Reorder the terms:
(18 + 5x) = (7x + -24)

Remove parenthesis around (18 + 5x)
18 + 5x = (7x + -24)

Reorder the terms:
18 + 5x = (-24 + 7x)

Remove parenthesis around (-24 + 7x)
18 + 5x = -24 + 7x

Solving
18 + 5x = -24 + 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.
18 + 5x + -7x = -24 + 7x + -7x

Combine like terms: 5x + -7x = -2x
18 + -2x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -2x = -24 + 0
18 + -2x = -24

Add '-18' to each side of the equation.
18 + -18 + -2x = -24 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -24 + -18
-2x = -24 + -18

Combine like terms: -24 + -18 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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