.10(2)+x=0.3(2+x)

Solution for .10(2)+x=0.3(2+x) equation:

Simplifying
0.10(2) + x = 0.3(2 + x)

Multiply 0.10 * 2
0.2 + x = 0.3(2 + x)
0.2 + x = (2 * 0.3 + x * 0.3)
0.2 + x = (0.6 + 0.3x)

Solving
0.2 + x = 0.6 + 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.
0.2 + x + -0.3x = 0.6 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
0.2 + 0.7x = 0.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.2 + 0.7x = 0.6 + 0.0
0.2 + 0.7x = 0.6

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.7x = 0.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.7x = 0.6 + -0.2
0.7x = 0.6 + -0.2

Combine like terms: 0.6 + -0.2 = 0.4
0.7x = 0.4

Divide each side by '0.7'.
x = 0.5714285714

Simplifying
x = 0.5714285714