3(-2x)-(-3x)+1=-2x+22

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Solution for 3(-2x)-(-3x)+1=-2x+22 equation: 


Simplifying
3(-2x) + -1(-3x) + 1 = -2x + 22

Remove parenthesis around (-2x)
3 * -2x + -1(-3x) + 1 = -2x + 22

Multiply 3 * -2
-6x + -1(-3x) + 1 = -2x + 22

Remove parenthesis around (-3x)
-6x + -1 * -3x + 1 = -2x + 22

Multiply -1 * -3
-6x + 3x + 1 = -2x + 22

Reorder the terms:
1 + -6x + 3x = -2x + 22

Combine like terms: -6x + 3x = -3x
1 + -3x = -2x + 22

Reorder the terms:
1 + -3x = 22 + -2x

Solving
1 + -3x = 22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + -3x + 2x = 22 + -2x + 2x

Combine like terms: -3x + 2x = -1x
1 + -1x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -1x = 22 + 0
1 + -1x = 22

Add '-1' to each side of the equation.
1 + -1 + -1x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 22 + -1
-1x = 22 + -1

Combine like terms: 22 + -1 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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