Problem: how do you solve for x in this equation with these fractions x/2+4=5/2x-6
the equation includes fractions and variables on both sides. the equation is x over 2 plus 4 equals 5 over 2 with x adjacent to the fraaction minus 6. solving for x.
Problems are easier to deal with if we can eliminate fractions.
Multiply both sides of the equation by 2, the denominator found of both sides.
x/2 + 4 = 5/2 x - 6
(x/2 + 4) * 2 = (5/2 x - 6) * 2
x + 8 = 5x - 12
x + 8 - 5x = 5x - 12 - 5x
-4x + 8 = -12
-4x + 8 - 8 = -12 - 8
-4x = -20
-4x/-4 = -20/-4
x = 5
Verify the answer.
x/2 + 4 = (5/2 * x) - 6 I added parentheses to avoid confusion.
5/2 + 4 = (5/2 * 5) - 6
2.5 + 4 = (2.5 * 5) - 6
6.5 = 12.5 - 6
6.5 = 6.5
Answer: x = 5