Answer
x = -13.33333333
Work Step by Step
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
