(4x+3)+(5x+2)+(6x+1)=26

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Solution for (4x+3)+(5x+2)+(6x+1)=26 equation:


Simplifying
(4x + 3) + (5x + 2) + (6x + 1) = 26

Reorder the terms:
(3 + 4x) + (5x + 2) + (6x + 1) = 26

Remove parenthesis around (3 + 4x)
3 + 4x + (5x + 2) + (6x + 1) = 26

Reorder the terms:
3 + 4x + (2 + 5x) + (6x + 1) = 26

Remove parenthesis around (2 + 5x)
3 + 4x + 2 + 5x + (6x + 1) = 26

Reorder the terms:
3 + 4x + 2 + 5x + (1 + 6x) = 26

Remove parenthesis around (1 + 6x)
3 + 4x + 2 + 5x + 1 + 6x = 26

Reorder the terms:
3 + 2 + 1 + 4x + 5x + 6x = 26

Combine like terms: 3 + 2 = 5
5 + 1 + 4x + 5x + 6x = 26

Combine like terms: 5 + 1 = 6
6 + 4x + 5x + 6x = 26

Combine like terms: 4x + 5x = 9x
6 + 9x + 6x = 26

Combine like terms: 9x + 6x = 15x
6 + 15x = 26

Solving
6 + 15x = 26

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 15x = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 26 + -6
15x = 26 + -6

Combine like terms: 26 + -6 = 20
15x = 20

Divide each side by '15'.
x = 1.333333333

Simplifying
x = 1.333333333

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