-3x-13=4x+22

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Solution for -3x-13=4x+22 equation:


Simplifying
-3x + -13 = 4x + 22

Reorder the terms:
-13 + -3x = 4x + 22

Reorder the terms:
-13 + -3x = 22 + 4x

Solving
-13 + -3x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + -3x + -4x = 22 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-13 + -7x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -7x = 22 + 0
-13 + -7x = 22

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

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

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

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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