Question

-4/3x+2=10
solve for x

Answer 1

wrong

Answer 2

To solve for x, we will first simplify the equation by multiplying both sides of the equation by the denominator of the fraction (-3).

-4/3x + 2 = 10

Multiply by -3:

-3 * (-4/3x + 2) = -3 * 10

12x - 6 = -30

Next, we will isolate the variable x by moving the constant term (-6) to the right side of the equation:

12x = -30 + 6

12x = -24

Divide both sides of the equation by 12 to solve for x:

x = -24/12

Simplifying the fraction:

x = -2

Therefore, the solution to the equation -4/3x + 2 = 10 is x = -2.

Answer 3

Apologies for the mistake. Let's solve the equation correctly.

-4/3x + 2 = 10

Let's start by isolating the variable by subtracting 2 from both sides:

-4/3x + 2 - 2 = 10 - 2

-4/3x = 8

To eliminate the fraction, we can multiply through by the reciprocal of -4/3, which is -3/4:

(-3/4)(-4/3x) = (-3/4)(8)

x = -24/4

Simplifying the fraction:

x = -6

Therefore, the solution to the equation -4/3x + 2 = 10 is x = -6.