Question

Solve the equation
(If possible please show work)

Answer 1

x=0

Explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

-4 + 3x= 2x-4(1-3x)

First, distribute the -4. Multiply each term inside the parentheses by -4.

-4+3x=2x + (-4*1) + (-4*-3x)

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

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x) is x=0

Answer 2

x = 0

Explanation:

First, distribute the -4 to the parentheses:

-4 + 3x = 2x - 4(1 - 3x)

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x