0.2+0.4(5)=0.3(x+2)

Solution for 0.2+0.4(5)=0.3(x+2) equation:

Simplifying
0.2 + 0.4(5) = 0.3(x + 2)

Multiply 0.4 * 5
0.2 + 2 = 0.3(x + 2)

Combine like terms: 0.2 + 2 = 2.2
2.2 = 0.3(x + 2)

Reorder the terms:
2.2 = 0.3(2 + x)
2.2 = (2 * 0.3 + x * 0.3)
2.2 = (0.6 + 0.3x)

Solving
2.2 = 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.
2.2 + -0.3x = 0.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
2.2 + -0.3x = 0.6 + 0.0
2.2 + -0.3x = 0.6

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -0.3x = 0.6 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -0.3x = 0.6 + -2.2
-0.3x = 0.6 + -2.2

Combine like terms: 0.6 + -2.2 = -1.6
-0.3x = -1.6

Divide each side by '-0.3'.
x = 5.333333333

Simplifying
x = 5.333333333