Question

Select the statement that describe a logical next step for solving this equation.
Question 5 options:


Multiply both sides by 1/12

add 3/4x to both sides by 1/12

Divide both sides by 15

Subtract 2/3x from both sides

Answer 1

Answer:

Subtract 2/3x from both sides

Step-by-step explanation:

$\dfrac{3}{4}x-7=\dfrac{2}{3}x+8$       add 7 to both sides

$\dfrac{3}{4}x=\dfrac{2}{3}x+15$

Answer: subtract 2/3x from both sides

$\dfrac{3}{4}x-\dfrac{2}{3}x=15$        multiply both sides by 12

$12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x=(12)(15)$

$(3)(3x)-(4)(2x)=180\\\\9x-8x=180\\\\x=180$

Answer 2

Answer:

Subtract $\frac{2}{3}x$  from both sides

Step-by-step explanation:

When we solve a one variable equation then we isolate variable in the right side of the equation,

Here, the given equation,

$\frac{3}{4}x-7=\frac{2}{3}x+8$

Adding 7 on both sides,

$\frac{3}{4}x=\frac{2}{3}x+15$

We need to isolate x in the right side,

So, we have to remove the term having x in the left side,

For this we need to subtract $\frac{2}{3}x$ on both sides,

Further steps are as follow,

$\frac{3}{4}x-\frac{2}{3}x=15$

$\frac{9x-8x}{12}=15$

$\frac{x}{12}=15\implies x = 180$