ten over three x -5 =four over 3 x =7
algebra
x=50/9
divide it like this 50 divided by 9
To solve the given equation for x, we will apply algebraic operations step-by-step:
Starting equation: (10/3)x - 5 = (4/3)x + 7
First, let's simplify the equation by bringing all the x terms to one side and constant terms to the other side:
(10/3)x - (4/3)x = 7 + 5
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 3:
[(10x - 4x)/3] = (35/3)
Now, combine the like terms on the left side:
(6x/3) = (35/3)
Simplify further:
2x = 35
To isolate x, let's divide both sides of the equation by 2:
(2x)/2 = 35/2
The 2 on the left side cancels out, and we are left with:
x = 35/2
To divide 35 by 2, divide the numerator by the denominator:
x = 17.5
Therefore, the solution to the given equation is x = 17.5 (or x = 35/2).