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

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


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

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

Combine like terms: 4x + -1x = 3x
20 + 3x = 4(x + -1)

Reorder the terms:
20 + 3x = 4(-1 + x)
20 + 3x = (-1 * 4 + x * 4)
20 + 3x = (-4 + 4x)

Solving
20 + 3x = -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 + 3x + -4x = -4 + 4x + -4x

Combine like terms: 3x + -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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