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

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


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

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

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

Solving
-5 + 5x = 16 + 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.
-5 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = 16 + 0
-5 + 1x = 16

Add '5' to each side of the equation.
-5 + 5 + 1x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 16 + 5
1x = 16 + 5

Combine like terms: 16 + 5 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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