7x-14=3x-5x+13

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Solution for 7x-14=3x-5x+13 equation:


Simplifying
7x + -14 = 3x + -5x + 13

Reorder the terms:
-14 + 7x = 3x + -5x + 13

Reorder the terms:
-14 + 7x = 13 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-14 + 7x = 13 + -2x

Solving
-14 + 7x = 13 + -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.
-14 + 7x + 2x = 13 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-14 + 9x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 9x = 13 + 0
-14 + 9x = 13

Add '14' to each side of the equation.
-14 + 14 + 9x = 13 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 13 + 14
9x = 13 + 14

Combine like terms: 13 + 14 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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