(7x-54)=(8x-24)

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Solution for (7x-54)=(8x-24) equation: 


Simplifying
(7x + -54) = (8x + -24)

Reorder the terms:
(-54 + 7x) = (8x + -24)

Remove parenthesis around (-54 + 7x)
-54 + 7x = (8x + -24)

Reorder the terms:
-54 + 7x = (-24 + 8x)

Remove parenthesis around (-24 + 8x)
-54 + 7x = -24 + 8x

Solving
-54 + 7x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-54 + 7x + -8x = -24 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-54 + -1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-54 + -1x = -24 + 0
-54 + -1x = -24

Add '54' to each side of the equation.
-54 + 54 + -1x = -24 + 54

Combine like terms: -54 + 54 = 0
0 + -1x = -24 + 54
-1x = -24 + 54

Combine like terms: -24 + 54 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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