5(x+4)=20(x-3)

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Solution for 5(x+4)=20(x-3) equation:


Simplifying
5(x + 4) = 20(x + -3)

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

Reorder the terms:
20 + 5x = 20(-3 + x)
20 + 5x = (-3 * 20 + x * 20)
20 + 5x = (-60 + 20x)

Solving
20 + 5x = -60 + 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.
20 + 5x + -20x = -60 + 20x + -20x

Combine like terms: 5x + -20x = -15x
20 + -15x = -60 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -15x = -60 + 0
20 + -15x = -60

Add '-20' to each side of the equation.
20 + -20 + -15x = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = -60 + -20
-15x = -60 + -20

Combine like terms: -60 + -20 = -80
-15x = -80

Divide each side by '-15'.
x = 5.333333333

Simplifying
x = 5.333333333

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