Question

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)

Answer 1

Answer:

The equation has only one solution which is:

• $x = 10$

Step-by-step explanation:

Given the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

Let us solve the equation to determine the type of the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

subtract the number: -1 - 3 = -4

$3x+6=4x-4$

subtract 6 from both sides

$3x+6-6=4x-4-6$

$3x=4x-10$

subtract 4x from both sides

$3x-4x=4x-10-4x$

$-x=-10$

Divide both sides y -1

$\frac{-x}{-1}=\frac{-10}{-1}$

$x=10$

Therefore, the equation has only one solution which is:

• $x = 10$