Question

-3 (x-6) +2 = 4 (x +2) - 23

Answer 1

`\boxed{\sf{x=5}}`

Explanation:

To solve this problem, use the distributive property to expand the form.

`\sf{-3(x-6)+2=4(x+2)-23}`

Distributive property:

• A(B+C)=AB+AC
• A(B-C)=AB-AC

-3(x-6)+2

`\sf{-3x-\left(-3\right)* \:6}`

=-3x+3*6

Multiply.

3*6=18

-3x+18

-3x+18+2

Add.

18+2=20

-3x+20

4(x+2)-23

4*x=4x

4*2=8

Rewrite the problem.

4x+8

4x+8-23

Add or subtract the numbers from left to right.

8-23=-15

4x-15

-3x+20=4x-15

You subtract by 20 from both sides.

`\sf{-3x+20-20=4x-15-20}`

Solve.

`\sf{-3x=4x-35}`

Subtract by 4x from both sides.

`\sf{-3x-4x=4x-35-4x}`

Solve.

-7x=-35

Divide by -7 from both sides.

`\sf{(-7x)/(-7)=(-35)/(-7)}`

Solve.

-35/-7=5

`\rightarrow \boxed{\sf{x=5}}`

Therefore, the final answer is x=5.

I hope this helps, let me know if you have any questions.

Answer 2

−3(x−6)+2=4(x+2)−23

Use the distributive property to multiply −3 by x−6.

−3x+18+2=4(x+2)−23

Add 18 and 2 to get 20.

−3x+20=4(x+2)−23

Use the distributive property to multiply 4 by x+2.

−3x+20=4x+8−23

Subtract 23 from 8 to get −15.

−3x+20=4x−15

Subtract 4x on both sides.

−3x+20−4x=−15

Combine −3x and −4x to get −7x.

−7x+20=−15

Subtract 20 from both sides.

−7x=−15−20

Subtract 20 from −15 to get −35.

−7x=−35

Divide both sides by −7.

x = -35/-7

Divide −35 by −7 to get 5.

x = 5

Michael Spymore