3x+101=5x+89

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Solution for 3x+101=5x+89 equation:


Simplifying
3x + 101 = 5x + 89

Reorder the terms:
101 + 3x = 5x + 89

Reorder the terms:
101 + 3x = 89 + 5x

Solving
101 + 3x = 89 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
101 + 3x + -5x = 89 + 5x + -5x

Combine like terms: 3x + -5x = -2x
101 + -2x = 89 + 5x + -5x

Combine like terms: 5x + -5x = 0
101 + -2x = 89 + 0
101 + -2x = 89

Add '-101' to each side of the equation.
101 + -101 + -2x = 89 + -101

Combine like terms: 101 + -101 = 0
0 + -2x = 89 + -101
-2x = 89 + -101

Combine like terms: 89 + -101 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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