4x-16=7x-22

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


Simplifying
4x + -16 = 7x + -22

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

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

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

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

Combine like terms: 7x + -7x = 0
-16 + -3x = -22 + 0
-16 + -3x = -22

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

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

Combine like terms: -22 + 16 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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