**Download NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.3**

**NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.3 – Linear Equation in one variable, has been designed by the NCERT to test the knowledge of the student on the topic – Solving Equations having the Variable on both Sides**

**Solve the following and check your results.**

**1. 3x=2x+18**

**Solution:
**3x-2x=18

x=18

**To check:**3x=2x+18

3×(18)=2×(18)+18

54=36+18

54=54

LHS = RHS

Hence, x=18 is the correct solution

**2. 5t-3=3t-5**

**Solution:**

5t-3t=3-5

2t=-2

t=-

t=-1

**To check:** 5t-3=3t-5

5×(-1)-3=3×(-1)-5

-5-3=-3-5

-8=-8

LHS = RHS

Hence, t=-1 is the correct solution

**3. 5x+9=5+3x**

**Solution:**

5x-3x=5-9

2x=-4

x=-

x=-2

**To check:** 5x+9=5+3x

5×(-2)+9=5+3×(-2)

-10+9=5+(-6)

-1=-1

LHS = RHS

Hence, x=-2 is the correct solution

**4. 4z+3=6+2z**

**Solution:**

4z-2z=6-3

2z=3

z=

**To check:** 4z+3=6+2z

4×+3=6+2x

6+3=6+3

9=9

LHS = RHS

Hence, z= is the correct solution

**5. 2x-1=14-x**

**Solution:**

2x+x=14+1

3x=15

x=

x=5

**To check:** 2x-1=14-x

2×(5)-1=14-(5)

10-1=14-5

9=9

LHS = RHS

Hence, x=5 is the correct solution

**6. 8x+4=3 (x-1)+7**

**Solution:**

8x+4=3x-3+7

8x+4=3x+4

8x-3x=0

5x=0

x=0

**To check:** 8x+4=3 (x-1)+7

8×0+4=3 (0-1)+7

4=-3+7

4=4

LHS = RHS

Hence, x=0 is the correct solution

**7. x=(x+10)**

**Solution:**

5x=4(x+10)

5x=4x+40

5x-4x=40

x=40

**To check:** x=(x+10)

40=(40+10)

40= (50)

40=40

LHS = RHS

Hence, x=40 is the correct solution

**8. +1=+3**

**Solution:**

–=3-1

=2

x=

x=

x=10

**To check:** +1=+3

+1=+3

+1=+3

=

=

LHS = RHS

Hence, x=10 is the correct solution

**9. 2y+=-y**

**Solution:**

2y+y=–

3y=

3y=

3y=7

y=

**To check:** 2y+=-y

2×+=–

+=

=

LHS = RHS

Hence, y= is the correct solution

**10. 3m=5m-**

**Solution:**

5m-3m=

2m=

m=

m==

m=

**To check:** 3m=5m-

3×=5×–

=–

=

LHS = RHS

Hence, m= is the correct solution

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.4 – Linear Equation in one variable can be accessed by clicking here**

**Download NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.3**

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