Question

5(x-3)=3(x+2) solve thee equations​

Answer 1

Step-by-step explanation:

5x-15=3x+6

5x-15=0

5x=15

x=15÷5

x=3

3x+6=0

3x=-6

x=_6÷3

x=-2

hence x=3 or x=-2

Answer 2

Given:

The equation -

⟶ 5(x - 3) = 3(x + 2)

What To Find:

We have to find,

• The value of x.

How To Find:

To find it, we have to

• First, we have to simplify the equation.
• Next, we have to take the constants and variables to different sides.
• Then, we have to solve the equation.
• Finally, we will get the answer.

Solution:

⟶ 5(x - 3) = 3(x + 2)

Remove and solve the brackets in LHS,

⟶ 5x - 15 = 3(x + 2)

Remove and solve the brackets in RHS,

⟶ 5x - 15 = 3x + 6

Take 3x to LHS from RHS,

⟶ 5x - 15 - 3x = 6

Take 15 to RHS from LHS,

⟶ 5x - 3x = 6 + 15

Subtract 5x to 3x in LHS,

⟶ 2x = 6 + 15

Add 6 and 15 in RHS,

⟶ 2x = 21

Take 2 to RHS from LHS,

⟶ x = 21 ÷ 2

Divide 21 by 2 in RHS,

⟶ x = 10.5

Verification:

⟶ 5(x - 3) = 3(x + 2)

Substitute the value of x,

⟶ 5(10.5 - 3) = 3(10.5 + 2)

Solve the brackets in LHS,

⟶ 5 × 7.5 = 3(10.5 + 2)

Mulptiply 5 with 7.5 in LHS,

⟶ 37.5 = 3(10.5 + 2)

Solve the brackets in RHS,

⟶ 37.5 = 3 × 12.5

Multiply 3 with 12.5 in RHS,

⟶ 37.5 = 37.5

∵ LHS = RHS

∴ Hence, verified.

Final Answer:

∴ Thus, the value of x is 10.5