Question

Solve 2x-3/5=x+6 ASAP

Answer 1

Answer:

Problem 1: $\frac{2x-3}{5}=x+6$ gives x=-11

Problem 2: $2x-\frac{3}{5}=x+6$ gives x=33/5

Step-by-step explanation:

I will do it both ways:

Problem 1:

$\frac{2x-3}{5}=x+6$

I don't like the fraction so I'm going to clear by multiplying both sides by 5:

$2x-3=5(x+6)$

Distribute:

$2x-3=5x+30$

Subtract 2x on both sides:

$-3=3x+30$

Subtract 30 on both sides:

$-33=3x$

Divide both sides by 3:

$-11=x$

Problem 2:

$2x-\frac{3}{5}=x+6$

Clear the fraction by multiplying both sides by 5:

$5(2x-\frac{3}{5})=5(x+6)$

Distribute:

$10x-3=5x+30$

Subtract 5x on both sides:

$5x-3=30$

Add 3 on both sides:

$5x=33$

Divide both sides by 5:

$x=\frac{33}{5}$

Answer 2

For this case we must solve the following equation:

$\frac {2x-3} {5} = x + 6$

Multiplying by 5 on both sides we have:

$2x-3 = 5 (x + 6)\\2x-3 = 5x + 30$

We add 3 to both sides of the equation:

$2x = 5x + 30 + 3\\2x = 5x + 33$

Subtracting 5x on both sides:

$2x-5x = 33\\-3x = 33$

Dividing between -3 on both sides:

$x = \frac {33} {- 3}\\x = -11$

Answer:

-11