7x+22=4x-16

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Solution for 7x+22=4x-16 equation:


Simplifying
7x + 22 = 4x + -16

Reorder the terms:
22 + 7x = 4x + -16

Reorder the terms:
22 + 7x = -16 + 4x

Solving
22 + 7x = -16 + 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.
22 + 7x + -4x = -16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
22 + 3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 3x = -16 + 0
22 + 3x = -16

Add '-22' to each side of the equation.
22 + -22 + 3x = -16 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = -16 + -22
3x = -16 + -22

Combine like terms: -16 + -22 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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