(3x+54)=(8x+9)

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Solution for (3x+54)=(8x+9) equation:


Simplifying
(3x + 54) = (8x + 9)

Reorder the terms:
(54 + 3x) = (8x + 9)

Remove parenthesis around (54 + 3x)
54 + 3x = (8x + 9)

Reorder the terms:
54 + 3x = (9 + 8x)

Remove parenthesis around (9 + 8x)
54 + 3x = 9 + 8x

Solving
54 + 3x = 9 + 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 + 3x + -8x = 9 + 8x + -8x

Combine like terms: 3x + -8x = -5x
54 + -5x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
54 + -5x = 9 + 0
54 + -5x = 9

Add '-54' to each side of the equation.
54 + -54 + -5x = 9 + -54

Combine like terms: 54 + -54 = 0
0 + -5x = 9 + -54
-5x = 9 + -54

Combine like terms: 9 + -54 = -45
-5x = -45

Divide each side by '-5'.
x = 9

Simplifying
x = 9

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