0.2(x+1)=0.3(x+11)

Solution for 0.2(x+1)=0.3(x+11) equation:

Simplifying
0.2(x + 1) = 0.3(x + 11)

Reorder the terms:
0.2(1 + x) = 0.3(x + 11)
(1 * 0.2 + x * 0.2) = 0.3(x + 11)
(0.2 + 0.2x) = 0.3(x + 11)

Reorder the terms:
0.2 + 0.2x = 0.3(11 + x)
0.2 + 0.2x = (11 * 0.3 + x * 0.3)
0.2 + 0.2x = (3.3 + 0.3x)

Solving
0.2 + 0.2x = 3.3 + 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 + 0.2x + -0.3x = 3.3 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
0.2 + -0.1x = 3.3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.2 + -0.1x = 3.3 + 0.0
0.2 + -0.1x = 3.3

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.1x = 3.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.1x = 3.3 + -0.2
-0.1x = 3.3 + -0.2

Combine like terms: 3.3 + -0.2 = 3.1
-0.1x = 3.1

Divide each side by '-0.1'.
x = -31

Simplifying
x = -31