0.5(3+x)+(2+x)=0.3(x+1)

Solution for 0.5(3+x)+(2+x)=0.3(x+1) equation:

Simplifying
0.5(3 + x) + (2 + x) = 0.3(x + 1)
(3 * 0.5 + x * 0.5) + (2 + x) = 0.3(x + 1)
(1.5 + 0.5x) + (2 + x) = 0.3(x + 1)

Remove parenthesis around (2 + x)
1.5 + 0.5x + 2 + x = 0.3(x + 1)

Reorder the terms:
1.5 + 2 + 0.5x + x = 0.3(x + 1)

Combine like terms: 1.5 + 2 = 3.5
3.5 + 0.5x + x = 0.3(x + 1)

Combine like terms: 0.5x + x = 1.5x
3.5 + 1.5x = 0.3(x + 1)

Reorder the terms:
3.5 + 1.5x = 0.3(1 + x)
3.5 + 1.5x = (1 * 0.3 + x * 0.3)
3.5 + 1.5x = (0.3 + 0.3x)

Solving
3.5 + 1.5x = 0.3 + 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.
3.5 + 1.5x + -0.3x = 0.3 + 0.3x + -0.3x

Combine like terms: 1.5x + -0.3x = 1.2x
3.5 + 1.2x = 0.3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
3.5 + 1.2x = 0.3 + 0.0
3.5 + 1.2x = 0.3

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 1.2x = 0.3 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1.2x = 0.3 + -3.5
1.2x = 0.3 + -3.5

Combine like terms: 0.3 + -3.5 = -3.2
1.2x = -3.2

Divide each side by '1.2'.
x = -2.666666667

Simplifying
x = -2.666666667