13x-7=22x+14

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Solution for 13x-7=22x+14 equation:


Simplifying
13x + -7 = 22x + 14

Reorder the terms:
-7 + 13x = 22x + 14

Reorder the terms:
-7 + 13x = 14 + 22x

Solving
-7 + 13x = 14 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-7 + 13x + -22x = 14 + 22x + -22x

Combine like terms: 13x + -22x = -9x
-7 + -9x = 14 + 22x + -22x

Combine like terms: 22x + -22x = 0
-7 + -9x = 14 + 0
-7 + -9x = 14

Add '7' to each side of the equation.
-7 + 7 + -9x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = 14 + 7
-9x = 14 + 7

Combine like terms: 14 + 7 = 21
-9x = 21

Divide each side by '-9'.
x = -2.333333333

Simplifying
x = -2.333333333

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