(4x+5)+(6x+1)=(8x+30)

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Solution for (4x+5)+(6x+1)=(8x+30) equation:


Simplifying
(4x + 5) + (6x + 1) = (8x + 30)

Reorder the terms:
(5 + 4x) + (6x + 1) = (8x + 30)

Remove parenthesis around (5 + 4x)
5 + 4x + (6x + 1) = (8x + 30)

Reorder the terms:
5 + 4x + (1 + 6x) = (8x + 30)

Remove parenthesis around (1 + 6x)
5 + 4x + 1 + 6x = (8x + 30)

Reorder the terms:
5 + 1 + 4x + 6x = (8x + 30)

Combine like terms: 5 + 1 = 6
6 + 4x + 6x = (8x + 30)

Combine like terms: 4x + 6x = 10x
6 + 10x = (8x + 30)

Reorder the terms:
6 + 10x = (30 + 8x)

Remove parenthesis around (30 + 8x)
6 + 10x = 30 + 8x

Solving
6 + 10x = 30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 10x + -8x = 30 + 8x + -8x

Combine like terms: 10x + -8x = 2x
6 + 2x = 30 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 2x = 30 + 0
6 + 2x = 30

Add '-6' to each side of the equation.
6 + -6 + 2x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 30 + -6
2x = 30 + -6

Combine like terms: 30 + -6 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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