Solved Example 1
`2x + 3 = 6`
Solution
Solve the equation. Subtract 3 from both sides of the equation,
`2x + 3  3 = 6  3`
`2x = 3`
Divide throughout by 2,
`(2x)/2 = 3/2`
`x = 3/2`
Mark `x = 3/2 = 1.5` on a number line,

Solution of `2x + 3 = 6` 
Solved Example 2
`4x + 1 = 5x + 2`
Solution
Solve the equation. Subtract 1 from both sides of the equation,
`4x + 1  1 = 5x + 2  1`
Simplify,
`4x = 5x + 1`
Subtract 5x from both sides of the equation,
`4x  5x = 5x + 1  5x`
`x =1`
Multiply throughout by 1,
`1 * x = 1 * 1`
`x = 1`
Mark x = 1 on a number line,

Solution of 4x + 1 = 5x + 2 
Solved Example 3
`x/2 = x/3 + 3`
Solution
First, solve the equation. Subtract `x/3` from both sides of the equation,
`x/2  x/3 = x/3 + 3  x/3`
Simplify,
`x/6 = 3`
Multiply throughout by 6,
`x/6 * 6 = 3 * 6`
`x = 18`
Now mark 18 on a number line.

Solution of `x/2 = x/3 + 3` 
Solved Example 4
`3x + 2 = 4x  15`
Solution
Solve the equation. Subtract 2 from both sides of the equation,
`3x + 2  2 = 4x  15  2`
Simplify,
`3x = 4x  17`
Subtract 4x from both sides of the equation,
`3x  4x = 4x  17  4x`
Simplify,
`x = 17`
Multiply throughout by 1,
`x * 1 = 17 * 1`
`x = 17`
Mark x = 17 on a number line.

Solution of 3x + 2 = 4x  15 
Solved Example 5
`x + 2 = 3`
Solution
Solve the equation. Subtract 2 from both sides of the equation,
`x + 2  2 = 3  2`
Simplify,
`x = 1`
Graph x = 1 on a number line.

Solution of x + 2 = 3 
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