3x+41=8x-54

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Solution for 3x+41=8x-54 equation:


Simplifying
3x + 41 = 8x + -54

Reorder the terms:
41 + 3x = 8x + -54

Reorder the terms:
41 + 3x = -54 + 8x

Solving
41 + 3x = -54 + 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.
41 + 3x + -8x = -54 + 8x + -8x

Combine like terms: 3x + -8x = -5x
41 + -5x = -54 + 8x + -8x

Combine like terms: 8x + -8x = 0
41 + -5x = -54 + 0
41 + -5x = -54

Add '-41' to each side of the equation.
41 + -41 + -5x = -54 + -41

Combine like terms: 41 + -41 = 0
0 + -5x = -54 + -41
-5x = -54 + -41

Combine like terms: -54 + -41 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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