x+22=1-3(x-11)

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Solution for x+22=1-3(x-11) equation:


Simplifying
x + 22 = 1 + -3(x + -11)

Reorder the terms:
22 + x = 1 + -3(x + -11)

Reorder the terms:
22 + x = 1 + -3(-11 + x)
22 + x = 1 + (-11 * -3 + x * -3)
22 + x = 1 + (33 + -3x)

Combine like terms: 1 + 33 = 34
22 + x = 34 + -3x

Solving
22 + x = 34 + -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.
22 + x + 3x = 34 + -3x + 3x

Combine like terms: x + 3x = 4x
22 + 4x = 34 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + 4x = 34 + 0
22 + 4x = 34

Add '-22' to each side of the equation.
22 + -22 + 4x = 34 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 34 + -22
4x = 34 + -22

Combine like terms: 34 + -22 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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