x+0.1(6)=0.9(x+6)

Solution for x+0.1(6)=0.9(x+6) equation:

Simplifying
x + 0.1(6) = 0.9(x + 6)

Multiply 0.1 * 6
x + 0.6 = 0.9(x + 6)

Reorder the terms:
0.6 + x = 0.9(x + 6)

Reorder the terms:
0.6 + x = 0.9(6 + x)
0.6 + x = (6 * 0.9 + x * 0.9)
0.6 + x = (5.4 + 0.9x)

Solving
0.6 + x = 5.4 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
0.6 + x + -0.9x = 5.4 + 0.9x + -0.9x

Combine like terms: x + -0.9x = 0.1x
0.6 + 0.1x = 5.4 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.6 + 0.1x = 5.4 + 0.0
0.6 + 0.1x = 5.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.1x = 5.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.1x = 5.4 + -0.6
0.1x = 5.4 + -0.6

Combine like terms: 5.4 + -0.6 = 4.8
0.1x = 4.8

Divide each side by '0.1'.
x = 48

Simplifying
x = 48