Question

What is -2(x+3)=4x-3

Answer 1

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

mutiply both sides by -2

(-2)(x)= -2x

(-2)(3)= -6

-2x-6= 4x-3

move 4x to the other side

sign changes from +4x to -4x

-2x-4x-6= 4x-4x-3

-2x-4x-6= -3

-6x-6= -3

move -6 to the other side

sign changes from -6 to +6

-6x-6+6= -3+6

-6x= 3

divide both sides by -6 to get x by itself

-6x/-6= 3/-6

Cross out -6 and -6, divide by -6 and then becomes 1*1*x= x

x= -3/6

Reduce the fraction by dividing by 3 for the numerator and denominator

-3/3= -1

6/3= 2

Answer: x= -1/2

Answer 2

x=-.5

Explanation:

First distribute -2 to x and three to get -2x-6

then write your equation, -2x-6=4x-3

Next add 2x to both sides and do the same with 3

-3=6x

Then divide -3 by 6 which gives you -.5