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

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


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

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

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

Solving
20 + 5x = -4 + 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 + 5x + -4x = -4 + 4x + -4x

Combine like terms: 5x + -4x = 1x
20 + 1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 1x = -4 + 0
20 + 1x = -4

Add '-20' to each side of the equation.
20 + -20 + 1x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -4 + -20
1x = -4 + -20

Combine like terms: -4 + -20 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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