0.2(8)+x=0.3(2+x)

Solution for 0.2(8)+x=0.3(2+x) equation:

Simplifying
0.2(8) + x = 0.3(2 + x)

Multiply 0.2 * 8
1.6 + x = 0.3(2 + x)
1.6 + x = (2 * 0.3 + x * 0.3)
1.6 + x = (0.6 + 0.3x)

Solving
1.6 + 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.
1.6 + x + -0.3x = 0.6 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
1.6 + 0.7x = 0.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.6 + 0.7x = 0.6 + 0.0
1.6 + 0.7x = 0.6

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.7x = 0.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.7x = 0.6 + -1.6
0.7x = 0.6 + -1.6

Combine like terms: 0.6 + -1.6 = -1
0.7x = -1

Divide each side by '0.7'.
x = -1.428571429

Simplifying
x = -1.428571429