5x+22=3(3x+2)

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Solution for 5x+22=3(3x+2) equation:


Simplifying
5x + 22 = 3(3x + 2)

Reorder the terms:
22 + 5x = 3(3x + 2)

Reorder the terms:
22 + 5x = 3(2 + 3x)
22 + 5x = (2 * 3 + 3x * 3)
22 + 5x = (6 + 9x)

Solving
22 + 5x = 6 + 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 + 5x + -9x = 6 + 9x + -9x

Combine like terms: 5x + -9x = -4x
22 + -4x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
22 + -4x = 6 + 0
22 + -4x = 6

Add '-22' to each side of the equation.
22 + -22 + -4x = 6 + -22

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

Combine like terms: 6 + -22 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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