20(x-1)=4(5-x)+16

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Solution for 20(x-1)=4(5-x)+16 equation: 


Simplifying
20(x + -1) = 4(5 + -1x) + 16

Reorder the terms:
20(-1 + x) = 4(5 + -1x) + 16
(-1 * 20 + x * 20) = 4(5 + -1x) + 16
(-20 + 20x) = 4(5 + -1x) + 16
-20 + 20x = (5 * 4 + -1x * 4) + 16
-20 + 20x = (20 + -4x) + 16

Reorder the terms:
-20 + 20x = 20 + 16 + -4x

Combine like terms: 20 + 16 = 36
-20 + 20x = 36 + -4x

Solving
-20 + 20x = 36 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-20 + 20x + 4x = 36 + -4x + 4x

Combine like terms: 20x + 4x = 24x
-20 + 24x = 36 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 24x = 36 + 0
-20 + 24x = 36

Add '20' to each side of the equation.
-20 + 20 + 24x = 36 + 20

Combine like terms: -20 + 20 = 0
0 + 24x = 36 + 20
24x = 36 + 20

Combine like terms: 36 + 20 = 56
24x = 56

Divide each side by '24'.
x = 2.333333333

Simplifying
x = 2.333333333

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