0.6(3x+5)=0.1-(x-3)

Solution for 0.6(3x+5)=0.1-(x-3) equation:

Simplifying
0.6(3x + 5) = 0.1 + -1(x + -3)

Reorder the terms:
0.6(5 + 3x) = 0.1 + -1(x + -3)
(5 * 0.6 + 3x * 0.6) = 0.1 + -1(x + -3)
(3 + 1.8x) = 0.1 + -1(x + -3)

Reorder the terms:
3 + 1.8x = 0.1 + -1(-3 + x)
3 + 1.8x = 0.1 + (-3 * -1 + x * -1)
3 + 1.8x = 0.1 + (3 + -1x)

Combine like terms: 0.1 + 3 = 3.1
3 + 1.8x = 3.1 + -1x

Solving
3 + 1.8x = 3.1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 1.8x + x = 3.1 + -1x + x

Combine like terms: 1.8x + x = 2.8x
3 + 2.8x = 3.1 + -1x + x

Combine like terms: -1x + x = 0
3 + 2.8x = 3.1 + 0
3 + 2.8x = 3.1

Add '-3' to each side of the equation.
3 + -3 + 2.8x = 3.1 + -3

Combine like terms: 3 + -3 = 0
0 + 2.8x = 3.1 + -3
2.8x = 3.1 + -3

Combine like terms: 3.1 + -3 = 0.1
2.8x = 0.1

Divide each side by '2.8'.
x = 0.03571428571

Simplifying
x = 0.03571428571