2x+13=5x+3

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Solution for 2x+13=5x+3 equation:


Simplifying
2x + 13 = 5x + 3

Reorder the terms:
13 + 2x = 5x + 3

Reorder the terms:
13 + 2x = 3 + 5x

Solving
13 + 2x = 3 + 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.
13 + 2x + -5x = 3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
13 + -3x = 3 + 0
13 + -3x = 3

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

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

Combine like terms: 3 + -13 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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