5(x+3)=20(x-1)

Solution for 5(x+3)=20(x-1) equation:

Simplifying
5(x + 3) = 20(x + -1)

Reorder the terms:
5(3 + x) = 20(x + -1)
(3 * 5 + x * 5) = 20(x + -1)
(15 + 5x) = 20(x + -1)

Reorder the terms:
15 + 5x = 20(-1 + x)
15 + 5x = (-1 * 20 + x * 20)
15 + 5x = (-20 + 20x)

Solving
15 + 5x = -20 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
15 + 5x + -20x = -20 + 20x + -20x

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

Combine like terms: 20x + -20x = 0
15 + -15x = -20 + 0
15 + -15x = -20

Add '-15' to each side of the equation.
15 + -15 + -15x = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -15x = -20 + -15
-15x = -20 + -15

Combine like terms: -20 + -15 = -35
-15x = -35

Divide each side by '-15'.
x = 2.333333333

Simplifying
x = 2.333333333