(4x+1)=(5x-15)

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Solution for (4x+1)=(5x-15) equation:


Simplifying
(4x + 1) = (5x + -15)

Reorder the terms:
(1 + 4x) = (5x + -15)

Remove parenthesis around (1 + 4x)
1 + 4x = (5x + -15)

Reorder the terms:
1 + 4x = (-15 + 5x)

Remove parenthesis around (-15 + 5x)
1 + 4x = -15 + 5x

Solving
1 + 4x = -15 + 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 + 4x + -5x = -15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
1 + -1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -1x = -15 + 0
1 + -1x = -15

Add '-1' to each side of the equation.
1 + -1 + -1x = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -15 + -1
-1x = -15 + -1

Combine like terms: -15 + -1 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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