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

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


Simplifying
22 + -1(x + 9) = 4x + -2

Reorder the terms:
22 + -1(9 + x) = 4x + -2
22 + (9 * -1 + x * -1) = 4x + -2
22 + (-9 + -1x) = 4x + -2

Combine like terms: 22 + -9 = 13
13 + -1x = 4x + -2

Reorder the terms:
13 + -1x = -2 + 4x

Solving
13 + -1x = -2 + 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.
13 + -1x + -4x = -2 + 4x + -4x

Combine like terms: -1x + -4x = -5x
13 + -5x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -5x = -2 + 0
13 + -5x = -2

Add '-13' to each side of the equation.
13 + -13 + -5x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -2 + -13
-5x = -2 + -13

Combine like terms: -2 + -13 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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