3x+54=8x-11

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Solution for 3x+54=8x-11 equation:


Simplifying
3x + 54 = 8x + -11

Reorder the terms:
54 + 3x = 8x + -11

Reorder the terms:
54 + 3x = -11 + 8x

Solving
54 + 3x = -11 + 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 = -11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
54 + -5x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
54 + -5x = -11 + 0
54 + -5x = -11

Add '-54' to each side of the equation.
54 + -54 + -5x = -11 + -54

Combine like terms: 54 + -54 = 0
0 + -5x = -11 + -54
-5x = -11 + -54

Combine like terms: -11 + -54 = -65
-5x = -65

Divide each side by '-5'.
x = 13

Simplifying
x = 13

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