5.2(x+3)+3.7(2-x)=3

Solution for 5.2(x+3)+3.7(2-x)=3 equation:

Simplifying
5.2(x + 3) + 3.7(2 + -1x) = 3

Reorder the terms:
5.2(3 + x) + 3.7(2 + -1x) = 3
(3 * 5.2 + x * 5.2) + 3.7(2 + -1x) = 3
(15.6 + 5.2x) + 3.7(2 + -1x) = 3
15.6 + 5.2x + (2 * 3.7 + -1x * 3.7) = 3
15.6 + 5.2x + (7.4 + -3.7x) = 3

Reorder the terms:
15.6 + 7.4 + 5.2x + -3.7x = 3

Combine like terms: 15.6 + 7.4 = 23
23 + 5.2x + -3.7x = 3

Combine like terms: 5.2x + -3.7x = 1.5x
23 + 1.5x = 3

Solving
23 + 1.5x = 3

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 1.5x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + 1.5x = 3 + -23
1.5x = 3 + -23

Combine like terms: 3 + -23 = -20
1.5x = -20

Divide each side by '1.5'.
x = -13.33333333

Simplifying
x = -13.33333333