7x+13=5x+17

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Solution for 7x+13=5x+17 equation:


Simplifying
7x + 13 = 5x + 17

Reorder the terms:
13 + 7x = 5x + 17

Reorder the terms:
13 + 7x = 17 + 5x

Solving
13 + 7x = 17 + 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 + 7x + -5x = 17 + 5x + -5x

Combine like terms: 7x + -5x = 2x
13 + 2x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + 2x = 17 + 0
13 + 2x = 17

Add '-13' to each side of the equation.
13 + -13 + 2x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 17 + -13
2x = 17 + -13

Combine like terms: 17 + -13 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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