-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