0.3(x+0.1)-0.5(2x-3)=0.47

Solution for 0.3(x+0.1)-0.5(2x-3)=0.47 equation:

Simplifying
0.3(x + 0.1) + -0.5(2x + -3) = 0.47

Reorder the terms:
0.3(0.1 + x) + -0.5(2x + -3) = 0.47
(0.1 * 0.3 + x * 0.3) + -0.5(2x + -3) = 0.47
(0.03 + 0.3x) + -0.5(2x + -3) = 0.47

Reorder the terms:
0.03 + 0.3x + -0.5(-3 + 2x) = 0.47
0.03 + 0.3x + (-3 * -0.5 + 2x * -0.5) = 0.47
0.03 + 0.3x + (1.5 + -1x) = 0.47

Reorder the terms:
0.03 + 1.5 + 0.3x + -1x = 0.47

Combine like terms: 0.03 + 1.5 = 1.53
1.53 + 0.3x + -1x = 0.47

Combine like terms: 0.3x + -1x = -0.7x
1.53 + -0.7x = 0.47

Solving
1.53 + -0.7x = 0.47

Solving for variable 'x'.

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

Add '-1.53' to each side of the equation.
1.53 + -1.53 + -0.7x = 0.47 + -1.53

Combine like terms: 1.53 + -1.53 = 0.00
0.00 + -0.7x = 0.47 + -1.53
-0.7x = 0.47 + -1.53

Combine like terms: 0.47 + -1.53 = -1.06
-0.7x = -1.06

Divide each side by '-0.7'.
x = 1.514285714

Simplifying
x = 1.514285714