Solve?
(10 / 3x) + (4/3) = (7 + x) / (2x)
your LCD is 6x , so multiply each term by that
20 + 8x = 3(7+x)
20+8x = 21+3x
5x = 1
x = 1/5
If (10 / 3x) + (4/3) = (7 + x) / (2x) mean
10 / ( 3 x ) + 4 / 3 = ( 7 + x ) / ( 2 x ) then Multiply both sides by x
10 * x / ( 3 x ) + 4 * x / 3 = x * ( 7 + x ) / ( 2 x )
10 / 3 + 4 x / 3 = ( 7 + x ) / 2 Multiply both sides by 6
10 * 6 / 3 + 6 * 4 x / 3 = 6 *( 7 + x ) / 2
10 * 2 + 2 * 4 x = 3 * ( 7 + x )
20 + 8 x = 21 + 3 x Subtract 3 x to both sides
20 + 8 x - 3 x = 21 + 3 x - 3 x
20 + 5 x = 21 Subtact 20 to both sides
20 + 5 x - 20 = 21 - 20
5 x = 1 Divide both sides by 5
x = 1 / 5
That is a great help, thanks.
To solve the equation (10 / 3x) + (4/3) = (7 + x) / (2x), follow these steps:
Step 1: Clear the denominators
To eliminate the fractions, multiply the entire equation by the common denominator of all the fractions, which is 6x. This will clear the fractions and simplify the equation.
(6x) * [(10 / 3x) + (4/3)] = (6x) * [(7 + x) / (2x)]
Simplifying gives us:
20 + 8x = 3(7 + x)
Step 2: Distribute and simplify
Distribute the 3 on the right side of the equation:
20 + 8x = 21 + 3x
Step 3: Isolate the variable terms
To isolate the variable terms, we need to move all terms containing x to one side of the equation.
Subtract 3x from both sides:
20 + 8x - 3x = 21 - 3x + 3x
Simplifying gives us:
20 + 5x = 21
Step 4: Solve for x
To solve for x, isolate the variable x by subtracting 20 from both sides of the equation:
20 + 5x - 20 = 21 - 20
Simplifying gives us:
5x = 1
Step 5: Solve for x
Divide both sides of the equation by 5:
(5x) / 5 = 1 / 5
Simplifying gives us:
x = 1/5
Therefore, the solution to the equation is x = 1/5.