5x+53=8x-55

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Solution for 5x+53=8x-55 equation:


Simplifying
5x + 53 = 8x + -55

Reorder the terms:
53 + 5x = 8x + -55

Reorder the terms:
53 + 5x = -55 + 8x

Solving
53 + 5x = -55 + 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.
53 + 5x + -8x = -55 + 8x + -8x

Combine like terms: 5x + -8x = -3x
53 + -3x = -55 + 8x + -8x

Combine like terms: 8x + -8x = 0
53 + -3x = -55 + 0
53 + -3x = -55

Add '-53' to each side of the equation.
53 + -53 + -3x = -55 + -53

Combine like terms: 53 + -53 = 0
0 + -3x = -55 + -53
-3x = -55 + -53

Combine like terms: -55 + -53 = -108
-3x = -108

Divide each side by '-3'.
x = 36

Simplifying
x = 36

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