5x-100=8x+10

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Solution for 5x-100=8x+10 equation:


Simplifying
5x + -100 = 8x + 10

Reorder the terms:
-100 + 5x = 8x + 10

Reorder the terms:
-100 + 5x = 10 + 8x

Solving
-100 + 5x = 10 + 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.
-100 + 5x + -8x = 10 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-100 + -3x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-100 + -3x = 10 + 0
-100 + -3x = 10

Add '100' to each side of the equation.
-100 + 100 + -3x = 10 + 100

Combine like terms: -100 + 100 = 0
0 + -3x = 10 + 100
-3x = 10 + 100

Combine like terms: 10 + 100 = 110
-3x = 110

Divide each side by '-3'.
x = -36.66666667

Simplifying
x = -36.66666667

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