(7x-1)+(4x+14)=(18x+7y)

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Solution for (7x-1)+(4x+14)=(18x+7y) equation:


Simplifying
(7x + -1) + (4x + 14) = (18x + 7y)

Reorder the terms:
(-1 + 7x) + (4x + 14) = (18x + 7y)

Remove parenthesis around (-1 + 7x)
-1 + 7x + (4x + 14) = (18x + 7y)

Reorder the terms:
-1 + 7x + (14 + 4x) = (18x + 7y)

Remove parenthesis around (14 + 4x)
-1 + 7x + 14 + 4x = (18x + 7y)

Reorder the terms:
-1 + 14 + 7x + 4x = (18x + 7y)

Combine like terms: -1 + 14 = 13
13 + 7x + 4x = (18x + 7y)

Combine like terms: 7x + 4x = 11x
13 + 11x = (18x + 7y)

Remove parenthesis around (18x + 7y)
13 + 11x = 18x + 7y

Solving
13 + 11x = 18x + 7y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18x' to each side of the equation.
13 + 11x + -18x = 18x + -18x + 7y

Combine like terms: 11x + -18x = -7x
13 + -7x = 18x + -18x + 7y

Combine like terms: 18x + -18x = 0
13 + -7x = 0 + 7y
13 + -7x = 7y

Add '-13' to each side of the equation.
13 + -13 + -7x = -13 + 7y

Combine like terms: 13 + -13 = 0
0 + -7x = -13 + 7y
-7x = -13 + 7y

Divide each side by '-7'.
x = 1.857142857 + -1y

Simplifying
x = 1.857142857 + -1y

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