Answer
x = 3.7
Work Step by Step
First, use the distributive property to distribute the 2 across the first half of the equation:
2(x + 5.7) = 6x - 3.4
(2x + 11.4) = 6x - 3.4
Now, to make the numbers more manageable, multiply both sides of the equation by 10, which will eliminate the decimal:
10(2x + 11.4) = 10(6x - 3.4)
20x + 114 = 60x - 34
Now, simplify across both sides of the equation and then solve for x:
20x + 114 = 60x - 34
20x - 20x + 114 = 60x - 34 - 20x
114 = 40x - 34
114 + 34 = 40x - 34 + 34
148 = 40x
Now, divide both sides by 40 to get x by itself:
148 $\div$ 40 = 40x $\div$ 40
3.7 = x
