15x+35=22x-13

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Solution for 15x+35=22x-13 equation:


Simplifying
15x + 35 = 22x + -13

Reorder the terms:
35 + 15x = 22x + -13

Reorder the terms:
35 + 15x = -13 + 22x

Solving
35 + 15x = -13 + 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.
35 + 15x + -22x = -13 + 22x + -22x

Combine like terms: 15x + -22x = -7x
35 + -7x = -13 + 22x + -22x

Combine like terms: 22x + -22x = 0
35 + -7x = -13 + 0
35 + -7x = -13

Add '-35' to each side of the equation.
35 + -35 + -7x = -13 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = -13 + -35
-7x = -13 + -35

Combine like terms: -13 + -35 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857

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