3x-6=-4x+22

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Solution for 3x-6=-4x+22 equation:


Simplifying
3x + -6 = -4x + 22

Reorder the terms:
-6 + 3x = -4x + 22

Reorder the terms:
-6 + 3x = 22 + -4x

Solving
-6 + 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.
-6 + 3x + 4x = 22 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-6 + 7x = 22 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 7x = 22 + 0
-6 + 7x = 22

Add '6' to each side of the equation.
-6 + 6 + 7x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 22 + 6
7x = 22 + 6

Combine like terms: 22 + 6 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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