3(2+5x)-(1+14x)=6

Solution for 3(2+5x)-(1+14x)=6 equation:

Simplifying
3(2 + 5x) + -1(1 + 14x) = 6
(2 * 3 + 5x * 3) + -1(1 + 14x) = 6
(6 + 15x) + -1(1 + 14x) = 6
6 + 15x + (1 * -1 + 14x * -1) = 6
6 + 15x + (-1 + -14x) = 6

Reorder the terms:
6 + -1 + 15x + -14x = 6

Combine like terms: 6 + -1 = 5
5 + 15x + -14x = 6

Combine like terms: 15x + -14x = 1x
5 + 1x = 6

Solving
5 + 1x = 6

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 6 + -5
1x = 6 + -5

Combine like terms: 6 + -5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1