-4(x-5)=22-3x

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Solution for -4(x-5)=22-3x equation:


Simplifying
-4(x + -5) = 22 + -3x

Reorder the terms:
-4(-5 + x) = 22 + -3x
(-5 * -4 + x * -4) = 22 + -3x
(20 + -4x) = 22 + -3x

Solving
20 + -4x = 22 + -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.
20 + -4x + 3x = 22 + -3x + 3x

Combine like terms: -4x + 3x = -1x
20 + -1x = 22 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -1x = 22 + 0
20 + -1x = 22

Add '-20' to each side of the equation.
20 + -20 + -1x = 22 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 22 + -20
-1x = 22 + -20

Combine like terms: 22 + -20 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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