Question

2(4x-6) = 4(3x-7) what is x​

Answer 1

x=4

Explanation:

Starting with 2(4x-6) you apply the distributive law: a(b-c) = ab - ac

a =2, b=4x, c=6

2(4x-6) = 2*4x-2*6 Then multiply the numbers 2*4

8x-2*6 = multiply 2*6

8x-12

Then for 4(3x-7) you apply the distributive law.

a =4, b=3x, c=7

4*3x-4*7 multiply 4*3

12x-4*7 multiply 4*7

12x-28

Then the equation would be 8x-12 = 12x-28. Add 12 to both sides.

8x=12x-16 Subtract 12x to both sides

-4x=-16 divide both sides by -4

then you'll get Positive 4 as your x.

Answer 2

The value of x in this equation is -4.

Explanation:

2(4x - 6) = 4(3x - 7)

Distribute 2 to (4x - 6) and distribute 4 to (3x - 7)

8x - 12 = 12x - 28

Subtract 12x form both sides of the equation.

-4x - 12 = -28

Add 12 to both sides of equation.

-4x = 16

Divide -4 on both sides of the equation.

x = -4

The value of x is -4.