Solve. start fraction 10 over 3x end fraction plus start fraction 4 over 3 end fraction equals start fraction 7 plus x over 2x end fraction
(1 point)
Responses
x = one-third
x = Image with alt text: one-third
x = start fraction 17 over 5 x end fraction
x = Image with alt text: start fraction 17 over 5 x end fraction
x = The fraction is 1 over 5.
x = Image with alt text: The fraction is 1 over 5.
x = one-sixth
To solve for x, we first need to combine the fractions on the left side of the equation:
10/3x + 4/3 = 7 + x/2x
Multiply both sides by 6x to get rid of the fractions:
20 + 8x = 42x + 3
Subtract 8x from both sides:
20 = 42x - 8x + 3
20 = 34x + 3
Subtract 3 from both sides:
17 = 34x
Divide by 34 to solve for x:
x = 17/34
x = 1/2
Therefore, x = 1/2.