Solve for x. -5(3x + 6) = -3(4x - 2) You must show your work.

-5(3x + 6) = -3(4x - 2)

Distribute -5 through the parenthesis

-15x - 30 = -3(4x - 2)

distribute -3 through the other parenthesis

-15x - 30 = -3( -12x + 6 )

move the variable the left hand side, change sign

-15x + 12 - 30 = 6

move constant to the right hand side

-15x + 12 = 6 + 30

collect like terms

-3x = 6 + 30

add the numbers

-3x = 36

divide both sides by -3

-3/-3 = 36/-3

x = -12

-5(3x + 6) = -3(4x - 2)

-15x-30=-12x+6

-30-6=-12x+15x

3x=-36

x=-36/3=-12

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.