3x+105=8x-5

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Solution for 3x+105=8x-5 equation:


Simplifying
3x + 105 = 8x + -5

Reorder the terms:
105 + 3x = 8x + -5

Reorder the terms:
105 + 3x = -5 + 8x

Solving
105 + 3x = -5 + 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.
105 + 3x + -8x = -5 + 8x + -8x

Combine like terms: 3x + -8x = -5x
105 + -5x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
105 + -5x = -5 + 0
105 + -5x = -5

Add '-105' to each side of the equation.
105 + -105 + -5x = -5 + -105

Combine like terms: 105 + -105 = 0
0 + -5x = -5 + -105
-5x = -5 + -105

Combine like terms: -5 + -105 = -110
-5x = -110

Divide each side by '-5'.
x = 22

Simplifying
x = 22

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