4(x+5)=5x-1

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


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

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

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

Solving
20 + 4x = -1 + 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.
20 + 4x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
20 + -1x = -1 + 0
20 + -1x = -1

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

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

Combine like terms: -1 + -20 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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