0.2(x+6)=0.167(x+8)

Solution for 0.2(x+6)=0.167(x+8) equation:

Simplifying
0.2(x + 6) = 0.167(x + 8)

Reorder the terms:
0.2(6 + x) = 0.167(x + 8)
(6 * 0.2 + x * 0.2) = 0.167(x + 8)
(1.2 + 0.2x) = 0.167(x + 8)

Reorder the terms:
1.2 + 0.2x = 0.167(8 + x)
1.2 + 0.2x = (8 * 0.167 + x * 0.167)
1.2 + 0.2x = (1.336 + 0.167x)

Solving
1.2 + 0.2x = 1.336 + 0.167x

Solving for variable 'x'.

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

Add '-0.167x' to each side of the equation.
1.2 + 0.2x + -0.167x = 1.336 + 0.167x + -0.167x

Combine like terms: 0.2x + -0.167x = 0.033x
1.2 + 0.033x = 1.336 + 0.167x + -0.167x

Combine like terms: 0.167x + -0.167x = 0.000
1.2 + 0.033x = 1.336 + 0.000
1.2 + 0.033x = 1.336

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.033x = 1.336 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.033x = 1.336 + -1.2
0.033x = 1.336 + -1.2

Combine like terms: 1.336 + -1.2 = 0.136
0.033x = 0.136

Divide each side by '0.033'.
x = 4.121212121

Simplifying
x = 4.121212121