5(x-3)=3(x+2) solve thee equations
Answers
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
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