Question

What is the solution to the equation 1/4x+2=-5/8x-5? O X=-8 O X=-7 O X=7 O X=8

Answer 1

Answer:

The solution to the equation $\frac{1}{4}x+2=\frac{-5}{8}x-5$ is $\mathbf{x=-8}$

Option A is correct option.

Step-by-step explanation:

What is the solution to the equation $\frac{1}{4}x+2=\frac{-5}{8}x-5$

Solving the equation

$\frac{1}{4}x+2=\frac{-5}{8}x-5$

Subtracting 2 on both sides

$\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7$

Adding 5/8x  on both sides

$\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7$

Multiply both sides by 8/7

$\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8$

So, we get x = -8

The solution to the equation $\frac{1}{4}x+2=\frac{-5}{8}x-5$ is $\mathbf{x=-8}$

Option A is correct option.