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Solve and check result: 3x = 2x + 18
3x = 2x + 18
On transposing 2x to L.H.S, we obtain
3x − 2x = 18
x = 18
L.H.S = 3x = 3 × 18 = 54
R.H.S = 2x + 18 = 2 × 18 + 18 = 36 + 18 = 54
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Solve and check result: 5t − 3 = 3t − 5
5t − 3 = 3t − 5
On transposing 3t to L.H.S and −3 to R.H.S, we obtain
5t − 3t = −5 − (−3)
2t = −2
On dividing both sides by 2, we obtain
t = −1
L.H.S = 5t − 3 = 5 × (−1) − 3 = −8
R.H.S = 3t − 5 = 3 × (−1) − 5 = − 3 − 5 = −8
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Solve and check result: 5x + 9 = 5 + 3x
5x+9=5+3x,
Now grouping of variable and constant values
5x-3x=5-9,
2x=-4,
x=-4/2
x=-2
Solve and check result: 4z + 3 = 6 + 2z
4z + 3 = 6 + 2z
On transposing 2z to L.H.S and 3 to R.H.S, we obtain
4z − 2z = 6 − 3
2z = 3
Dividing both sides by 2, we obtain
L.H.S = 4z + 3 = 4 ×
+ 3 = 6 + 3 = 9
R.H.S = 6 + 2z = 6 + 2 × = 6 + 3 = 9
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Solve and check result: 2x − 1 = 14 − x
2x-1=14-x
2x+x=14+1
3x=15
x=15/3
x=5
to check given equation,
LHS=2*5-1=10-1=9
RHS=14-5=9
LHS=RHS hence checked
Solve and check result: 8x + 4 = 3(x − 1) + 7
8x+4=3(x-1)+7
8x+4=3x-3+7
8x+4=3x+4
8x-3x=4-4=0
x=0
to check given equation,
LHS=8x+4=8*0+4=4
RHS=3(x-1)+7=3(0-1)+7=-3+7=4
LHS=RHS
Solve and check result: 
x=4/5 * (x+10) .............(1)
cross multiplying,
5x=4(x+10)
5x=4x+4*10
5x=4x+40
5x-4x=40
x=40 is the solution.
to check given equation , substutute x=40 in(1)
LHS=x=40
RHS=4/5*(x+10)=4/5 * (40+10)= 4/5*50=4*10=40
LHS=RHS
Solve and check result: 
Transposing 
to L.H.S and 1 to R.H.S, we obtain
Multiplying both sides by 5, we obtain
x = 10
L.H.S = 
= 
R.H.S = 
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Solve and check result: 
Transposing y to L.H.S and 
to R.H.S, we obtain
Dividing both sides by 3, we obtain
L.H.S = 
R.H.S = 
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Solve and check result: 
................(1)
5m-3m=8/5
2m=8/5
m=8/10=4/5
substituting m=4/5 in (1)
LHS=3m=3*4/5=12/5
RHS=5m-8/5=5*4/5-8/5=20/5-8/5=(20-8)/5=12/5
LHS=RHS
m=4/5 satisfying (1)
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