Question

7x-3(x-4)=8
solve for x

Answer 1

x=2.625

Explanation:

7x-3=-21

-21÷8=-2.625+4=2.625

7x-3(2.625-4)

Answer 2

`\Longrightarrow: \boxed{\sf{x=-1}}`

Explanation:

To solve for x, isolate it on one side of the equation.

Use the distributive property.

Distribuitve property:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

7x-3(x-4)=8

-3(x-4)

-3*x=-3x

-3*4=12

-3x+12

7x-3x+12=8

7x-3x=4x

4x+12=8

Subtract by 12 from both sides.

4x+12-12=8-12

Solve.

8-12=-4

4x=-4

Divide by 4 from both sides.

4x/4=-4/4

Solve.

Divide the numbers from left to right.

-4/4=-1

`\Longrightarrow: \boxed{\sf{x=-1}}`

• Therefore, the final answer is x=-1.

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