20(x-2)=5(x+1)

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Solution for 20(x-2)=5(x+1) equation:


Simplifying
20(x + -2) = 5(x + 1)

Reorder the terms:
20(-2 + x) = 5(x + 1)
(-2 * 20 + x * 20) = 5(x + 1)
(-40 + 20x) = 5(x + 1)

Reorder the terms:
-40 + 20x = 5(1 + x)
-40 + 20x = (1 * 5 + x * 5)
-40 + 20x = (5 + 5x)

Solving
-40 + 20x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-40 + 20x + -5x = 5 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-40 + 15x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 15x = 5 + 0
-40 + 15x = 5

Add '40' to each side of the equation.
-40 + 40 + 15x = 5 + 40

Combine like terms: -40 + 40 = 0
0 + 15x = 5 + 40
15x = 5 + 40

Combine like terms: 5 + 40 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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