22-3x=2(2x-3)

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Solution for 22-3x=2(2x-3) equation:


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

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

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

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

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

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

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

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

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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