2x+3=5x+13

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


Simplifying
2x + 3 = 5x + 13

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

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

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

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

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

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

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

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

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

Simplifying
x = -3.333333333

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