3(5x+2)=10

Solution for 3(5x+2)=10 equation:

Simplifying
3(5x + 2) = 10

Reorder the terms:
3(2 + 5x) = 10
(2 * 3 + 5x * 3) = 10
(6 + 15x) = 10

Solving
6 + 15x = 10

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 = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 10 + -6
15x = 10 + -6

Combine like terms: 10 + -6 = 4
15x = 4

Divide each side by '15'.
x = 0.2666666667

Simplifying
x = 0.2666666667