6(8x-2)+2(6x+3)=10

Solution for 6(8x-2)+2(6x+3)=10 equation:

Simplifying
6(8x + -2) + 2(6x + 3) = 10

Reorder the terms:
6(-2 + 8x) + 2(6x + 3) = 10
(-2 * 6 + 8x * 6) + 2(6x + 3) = 10
(-12 + 48x) + 2(6x + 3) = 10

Reorder the terms:
-12 + 48x + 2(3 + 6x) = 10
-12 + 48x + (3 * 2 + 6x * 2) = 10
-12 + 48x + (6 + 12x) = 10

Reorder the terms:
-12 + 6 + 48x + 12x = 10

Combine like terms: -12 + 6 = -6
-6 + 48x + 12x = 10

Combine like terms: 48x + 12x = 60x
-6 + 60x = 10

Solving
-6 + 60x = 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 + 60x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 60x = 10 + 6
60x = 10 + 6

Combine like terms: 10 + 6 = 16
60x = 16

Divide each side by '60'.
x = 0.2666666667

Simplifying
x = 0.2666666667