How do I solve
14x/5 + 7x = 23
5(14x/5) + 5(7x)= 5(23)
14x + 35x = 115 the 5's cancel
49x = 115
divide both sides by 49 to get x on its own
x = 2.35
To solve the equation 14x/5 + 7x = 23, you can follow these steps:
Step 1: Clear the fraction by multiplying every term in the equation by the denominator of the fraction, which is 5. This will eliminate the fraction:
5 * (14x/5 + 7x) = 5 * 23
Simplifying:
14x + 35x = 115
Step 2: Combine like terms on the left side of the equation:
(14x + 35x) = 115
49x = 115
Step 3: Solve for x by dividing both sides of the equation by the coefficient of x, which is 49:
49x / 49 = 115 / 49
Simplifying:
x = 115 / 49
So, the solution to the equation is x = 115 / 49.