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

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


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

Reorder the terms:
4(-2 + x) + -3(-1x + -3) = 22
(-2 * 4 + x * 4) + -3(-1x + -3) = 22
(-8 + 4x) + -3(-1x + -3) = 22

Reorder the terms:
-8 + 4x + -3(-3 + -1x) = 22
-8 + 4x + (-3 * -3 + -1x * -3) = 22
-8 + 4x + (9 + 3x) = 22

Reorder the terms:
-8 + 9 + 4x + 3x = 22

Combine like terms: -8 + 9 = 1
1 + 4x + 3x = 22

Combine like terms: 4x + 3x = 7x
1 + 7x = 22

Solving
1 + 7x = 22

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 7x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 22 + -1
7x = 22 + -1

Combine like terms: 22 + -1 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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