.2(4x+6)=10

Solution for .2(4x+6)=10 equation:

Simplifying
0.2(4x + 6) = 10

Reorder the terms:
0.2(6 + 4x) = 10
(6 * 0.2 + 4x * 0.2) = 10
(1.2 + 0.8x) = 10

Solving
1.2 + 0.8x = 10

Solving for variable 'x'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.8x = 10 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.8x = 10 + -1.2
0.8x = 10 + -1.2

Combine like terms: 10 + -1.2 = 8.8
0.8x = 8.8

Divide each side by '0.8'.
x = 11

Simplifying
x = 11