5x-13=2x+1

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Solution for 5x-13=2x+1 equation:


Simplifying
5x + -13 = 2x + 1

Reorder the terms:
-13 + 5x = 2x + 1

Reorder the terms:
-13 + 5x = 1 + 2x

Solving
-13 + 5x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-13 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 3x = 1 + 0
-13 + 3x = 1

Add '13' to each side of the equation.
-13 + 13 + 3x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 1 + 13
3x = 1 + 13

Combine like terms: 1 + 13 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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