.06(x+10)+.08(x-10)=4.6

Solution for .06(x+10)+.08(x-10)=4.6 equation:

Simplifying
0.06(x + 10) + 0.08(x + -10) = 4.6

Reorder the terms:
0.06(10 + x) + 0.08(x + -10) = 4.6
(10 * 0.06 + x * 0.06) + 0.08(x + -10) = 4.6
(0.6 + 0.06x) + 0.08(x + -10) = 4.6

Reorder the terms:
0.6 + 0.06x + 0.08(-10 + x) = 4.6
0.6 + 0.06x + (-10 * 0.08 + x * 0.08) = 4.6
0.6 + 0.06x + (-0.8 + 0.08x) = 4.6

Reorder the terms:
0.6 + -0.8 + 0.06x + 0.08x = 4.6

Combine like terms: 0.6 + -0.8 = -0.2
-0.2 + 0.06x + 0.08x = 4.6

Combine like terms: 0.06x + 0.08x = 0.14x
-0.2 + 0.14x = 4.6

Solving
-0.2 + 0.14x = 4.6

Solving for variable 'x'.

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.14x = 4.6 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.14x = 4.6 + 0.2
0.14x = 4.6 + 0.2

Combine like terms: 4.6 + 0.2 = 4.8
0.14x = 4.8

Divide each side by '0.14'.
x = 34.28571429

Simplifying
x = 34.28571429