Solving simple equations

An expression is a "phrase" that represents a number.
An equation sets two expressions equal to each other.

In the expression 8x + 17,x is the variable.
8x + 17 = 12 is an equation.

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation

Reversing Operations:(Opposite operations)

Example :slove g + 94 = 176
Here the operation is addition ,reverse of addition is subtraction
g + 94-94 = 176 – 94 ( subtracting 94 from both sides)
g = 18

practice :slove
u + 20 = 90
17 + d = 24
x + 25 = 56
Answers:
u = 70
d = 7
x = 31

Example :slove 2 = n - 8
Here the operation is subtraction, reverse of subtraction is addition
2+8 = n - 8 + 8 ( adding 8 to both sides)
10 = n

practice :slove
x – 89 = 12
y – 21 = 39
p - 33 = 45
Answers:
x = 101
y = 60
p = 78

Example : solve 5x = 30
Here the operation is multiplication(5x means 5 times x), reverse of multiplication is division
5x/5 = 30/5 ( dividing both sides by 5 )
X = 6

practice :solve
8p = 72
4y = 32
9x = 81
Answers:
p = 9
y = 8
x = 9

Example :slove 12 = m ÷ 18
Here the operation is division, reverse of division is multiplication
12 * 18 = (m ÷ 18) * 18 ( multiplying both sides by 18, right side 18 & 18 gets cancelled)
216 = m

practice :slove
a ÷ 4 = 8
P ÷ 7 = 4
x ÷ 8 = 5
Answers:
a = 32
p = 28
x = 40