4x+22=7x-50

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Solution for 4x+22=7x-50 equation:


Simplifying
4x + 22 = 7x + -50

Reorder the terms:
22 + 4x = 7x + -50

Reorder the terms:
22 + 4x = -50 + 7x

Solving
22 + 4x = -50 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + 4x + -7x = -50 + 7x + -7x

Combine like terms: 4x + -7x = -3x
22 + -3x = -50 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -3x = -50 + 0
22 + -3x = -50

Add '-22' to each side of the equation.
22 + -22 + -3x = -50 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = -50 + -22
-3x = -50 + -22

Combine like terms: -50 + -22 = -72
-3x = -72

Divide each side by '-3'.
x = 24

Simplifying
x = 24

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