-20-3(x-5)=22(x-5)

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Solution for -20-3(x-5)=22(x-5) equation:


Simplifying
-20 + -3(x + -5) = 22(x + -5)

Reorder the terms:
-20 + -3(-5 + x) = 22(x + -5)
-20 + (-5 * -3 + x * -3) = 22(x + -5)
-20 + (15 + -3x) = 22(x + -5)

Combine like terms: -20 + 15 = -5
-5 + -3x = 22(x + -5)

Reorder the terms:
-5 + -3x = 22(-5 + x)
-5 + -3x = (-5 * 22 + x * 22)
-5 + -3x = (-110 + 22x)

Solving
-5 + -3x = -110 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-5 + -3x + -22x = -110 + 22x + -22x

Combine like terms: -3x + -22x = -25x
-5 + -25x = -110 + 22x + -22x

Combine like terms: 22x + -22x = 0
-5 + -25x = -110 + 0
-5 + -25x = -110

Add '5' to each side of the equation.
-5 + 5 + -25x = -110 + 5

Combine like terms: -5 + 5 = 0
0 + -25x = -110 + 5
-25x = -110 + 5

Combine like terms: -110 + 5 = -105
-25x = -105

Divide each side by '-25'.
x = 4.2

Simplifying
x = 4.2

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