6(.1)+x=.3(6+x)

Solution for 6(.1)+x=.3(6+x) equation:

Simplifying
6(0.1) + x = 0.3(6 + x)

Multiply 6 * 0.1
0.6 + x = 0.3(6 + x)
0.6 + x = (6 * 0.3 + x * 0.3)
0.6 + x = (1.8 + 0.3x)

Solving
0.6 + x = 1.8 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.6 + x + -0.3x = 1.8 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
0.6 + 0.7x = 1.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.6 + 0.7x = 1.8 + 0.0
0.6 + 0.7x = 1.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.7x = 1.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.7x = 1.8 + -0.6
0.7x = 1.8 + -0.6

Combine like terms: 1.8 + -0.6 = 1.2
0.7x = 1.2

Divide each side by '0.7'.
x = 1.714285714

Simplifying
x = 1.714285714