Question

X-17 3x+7 ----- = ----- +2 5          4

Answer 1

$\frac{ \times - 17}{5} = \frac{3x + 7}{4} + 2 \\ 4(x - 17) = 5(3x + 7) + 40 \\ 4x - 68 = 15x + 35 + 40 \\ 4x - 68 = 15x + 75 \\ 4x - 15x = 75 + 68 \\ - 11x = 143 \\ x = - 13$

Answer 2

To solve the equation, we need to find the value of "x" that satisfies the equation:

$\frac{3x+7}{5} = \frac{4}{4} + 2$

Step 1: Simplify the equation on the right-hand side:

$\frac{4}{4} + 2 = 1 + 2 = 3$

So now the equation becomes:

$\frac{3x+7}{5} = 3$

Step 2: Multiply both sides of the equation by 5 to eliminate the fraction:

$5 \times \frac{3x+7}{5} = 5 \times 3$

This gives us:

$3x + 7 = 15$

Step 3: Now, isolate the variable "x" on one side of the equation. To do this, we'll subtract 7 from both sides:

$3x = 15 - 7$

$3x = 8$

Step 4: Finally, divide both sides by 3 to solve for "x":

$x = \frac{8}{3}$

So, the value of "x" that satisfies the equation is:

$x = \frac{8}{3}$