x+0.3(4)=0.8(x+4)

Solution for x+0.3(4)=0.8(x+4) equation:

Simplifying
x + 0.3(4) = 0.8(x + 4)

Multiply 0.3 * 4
x + 1.2 = 0.8(x + 4)

Reorder the terms:
1.2 + x = 0.8(x + 4)

Reorder the terms:
1.2 + x = 0.8(4 + x)
1.2 + x = (4 * 0.8 + x * 0.8)
1.2 + x = (3.2 + 0.8x)

Solving
1.2 + x = 3.2 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
1.2 + x + -0.8x = 3.2 + 0.8x + -0.8x

Combine like terms: x + -0.8x = 0.2x
1.2 + 0.2x = 3.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
1.2 + 0.2x = 3.2 + 0.0
1.2 + 0.2x = 3.2

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.2x = 3.2 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.2x = 3.2 + -1.2
0.2x = 3.2 + -1.2

Combine like terms: 3.2 + -1.2 = 2
0.2x = 2

Divide each side by '0.2'.
x = 10

Simplifying
x = 10