4x+3x+22=9(x+2)-6

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Solution for 4x+3x+22=9(x+2)-6 equation:


Simplifying
4x + 3x + 22 = 9(x + 2) + -6

Reorder the terms:
22 + 4x + 3x = 9(x + 2) + -6

Combine like terms: 4x + 3x = 7x
22 + 7x = 9(x + 2) + -6

Reorder the terms:
22 + 7x = 9(2 + x) + -6
22 + 7x = (2 * 9 + x * 9) + -6
22 + 7x = (18 + 9x) + -6

Reorder the terms:
22 + 7x = 18 + -6 + 9x

Combine like terms: 18 + -6 = 12
22 + 7x = 12 + 9x

Solving
22 + 7x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
22 + 7x + -9x = 12 + 9x + -9x

Combine like terms: 7x + -9x = -2x
22 + -2x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
22 + -2x = 12 + 0
22 + -2x = 12

Add '-22' to each side of the equation.
22 + -22 + -2x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 12 + -22
-2x = 12 + -22

Combine like terms: 12 + -22 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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