(4x+1)+(x-7)+(6x+2)=0

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Solution for (4x+1)+(x-7)+(6x+2)=0 equation:


Simplifying
(4x + 1) + (x + -7) + (6x + 2) = 0

Reorder the terms:
(1 + 4x) + (x + -7) + (6x + 2) = 0

Remove parenthesis around (1 + 4x)
1 + 4x + (x + -7) + (6x + 2) = 0

Reorder the terms:
1 + 4x + (-7 + x) + (6x + 2) = 0

Remove parenthesis around (-7 + x)
1 + 4x + -7 + x + (6x + 2) = 0

Reorder the terms:
1 + 4x + -7 + x + (2 + 6x) = 0

Remove parenthesis around (2 + 6x)
1 + 4x + -7 + x + 2 + 6x = 0

Reorder the terms:
1 + -7 + 2 + 4x + x + 6x = 0

Combine like terms: 1 + -7 = -6
-6 + 2 + 4x + x + 6x = 0

Combine like terms: -6 + 2 = -4
-4 + 4x + x + 6x = 0

Combine like terms: 4x + x = 5x
-4 + 5x + 6x = 0

Combine like terms: 5x + 6x = 11x
-4 + 11x = 0

Solving
-4 + 11x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 11x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 0 + 4
11x = 0 + 4

Combine like terms: 0 + 4 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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