Question

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

Answer 1

1 )Expand.

4x−12=3x+6

2 )Add 12 to both sides.

4x=3x+6+12

3 )Simplify 3x+6+12 to 3x+18.

4x=3x+18

4 )Subtract 3x from both sides.

4x−3x=18

5 )Simplify 4x−3x to x.

x=18

________________________Check Answer_______________________

4(x−3)=3(x+2)

1)Let x=18.

4 × ( 18 − 3 ) = 3 × ( 18 + 2 )

2)Simplify 18 − 3 to 15.

4 × 15 = 3 × ( 18 + 2 )

3)Simplify 18 + 2 to 20.

4 × 15 = 3 × 20

4)Simplify 4 × 15 to 60.

60 = 3 × 20

5)Simplify 3 × 20 to 60.

60 = 60

Answer 2

x=18

Step-by-step explanation:

Distribute the 4 and 3 to the terms inside the parentheses:

4x - 12 = 3x + 6

Move all the x terms to one side of the equation and all the constant terms to the other side. You can do this by adding 12 to both sides and subtracting 3x from both sides:

4x - 3x = 6 + 12

x = 18