(3x-15)+20=(4x-15)+k

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Solution for (3x-15)+20=(4x-15)+k equation:


Simplifying
(3x + -15) + 20 = (4x + -15) + k

Reorder the terms:
(-15 + 3x) + 20 = (4x + -15) + k

Remove parenthesis around (-15 + 3x)
-15 + 3x + 20 = (4x + -15) + k

Reorder the terms:
-15 + 20 + 3x = (4x + -15) + k

Combine like terms: -15 + 20 = 5
5 + 3x = (4x + -15) + k

Reorder the terms:
5 + 3x = (-15 + 4x) + k

Remove parenthesis around (-15 + 4x)
5 + 3x = -15 + 4x + k

Reorder the terms:
5 + 3x = -15 + k + 4x

Solving
5 + 3x = -15 + k + 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 + 3x + -4x = -15 + k + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -15 + k + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -15 + k + 0
5 + -1x = -15 + k

Add '-5' to each side of the equation.
5 + -5 + -1x = -15 + -5 + k

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

Combine like terms: -15 + -5 = -20
-1x = -20 + k

Divide each side by '-1'.
x = 20 + -1k

Simplifying
x = 20 + -1k

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