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

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


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

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

Combine like terms: 22 + 2 = 24
24 + -3x = 3(x + -4)

Reorder the terms:
24 + -3x = 3(-4 + x)
24 + -3x = (-4 * 3 + x * 3)
24 + -3x = (-12 + 3x)

Solving
24 + -3x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + -3x + -3x = -12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
24 + -6x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -6x = -12 + 0
24 + -6x = -12

Add '-24' to each side of the equation.
24 + -24 + -6x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -12 + -24
-6x = -12 + -24

Combine like terms: -12 + -24 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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