-75(x-20)=x+(-22)

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Solution for -75(x-20)=x+(-22) equation: 


Simplifying
-75(x + -20) = x + (-22)

Reorder the terms:
-75(-20 + x) = x + (-22)
(-20 * -75 + x * -75) = x + (-22)
(1500 + -75x) = x + (-22)
1500 + -75x = x + -22

Reorder the terms:
1500 + -75x = -22 + x

Solving
1500 + -75x = -22 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1500 + -75x + -1x = -22 + x + -1x

Combine like terms: -75x + -1x = -76x
1500 + -76x = -22 + x + -1x

Combine like terms: x + -1x = 0
1500 + -76x = -22 + 0
1500 + -76x = -22

Add '-1500' to each side of the equation.
1500 + -1500 + -76x = -22 + -1500

Combine like terms: 1500 + -1500 = 0
0 + -76x = -22 + -1500
-76x = -22 + -1500

Combine like terms: -22 + -1500 = -1522
-76x = -1522

Divide each side by '-76'.
x = 20.02631579

Simplifying
x = 20.02631579

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