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

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Solution for 3(x-1)-4(x+1)=22 equation:


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

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

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

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

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

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

Solving
-7 + -1x = 22

Solving for variable 'x'.

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

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

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

Combine like terms: 22 + 7 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

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