4x-22=7x-7

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


Simplifying
4x + -22 = 7x + -7

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

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

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

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

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

Add '22' to each side of the equation.
-22 + 22 + -3x = -7 + 22

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

Combine like terms: -7 + 22 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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