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

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


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

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

Combine like terms: 4x + -5x = -1x
1 + -1x = 5(x + 4)

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

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

Combine like terms: -1x + -5x = -6x
1 + -6x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -6x = 20 + 0
1 + -6x = 20

Add '-1' to each side of the equation.
1 + -1 + -6x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 20 + -1
-6x = 20 + -1

Combine like terms: 20 + -1 = 19
-6x = 19

Divide each side by '-6'.
x = -3.166666667

Simplifying
x = -3.166666667

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