x+0.20(6)=0.90(x+6)

Solution for x+0.20(6)=0.90(x+6) equation:

Simplifying
x + 0.20(6) = 0.90(x + 6)

Multiply 0.20 * 6
x + 1.2 = 0.90(x + 6)

Reorder the terms:
1.2 + x = 0.90(x + 6)

Reorder the terms:
1.2 + x = 0.90(6 + x)
1.2 + x = (6 * 0.90 + x * 0.90)
1.2 + x = (5.4 + 0.90x)

Solving
1.2 + x = 5.4 + 0.90x

Solving for variable 'x'.

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

Add '-0.90x' to each side of the equation.
1.2 + x + -0.90x = 5.4 + 0.90x + -0.90x

Combine like terms: x + -0.90x = 0.1x
1.2 + 0.1x = 5.4 + 0.90x + -0.90x

Combine like terms: 0.90x + -0.90x = 0.00
1.2 + 0.1x = 5.4 + 0.00
1.2 + 0.1x = 5.4

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.1x = 5.4 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.1x = 5.4 + -1.2
0.1x = 5.4 + -1.2

Combine like terms: 5.4 + -1.2 = 4.2
0.1x = 4.2

Divide each side by '0.1'.
x = 42

Simplifying
x = 42