Use this as a guide : [Solve 10x = 2x − 16. Check: 10x = 2x − 16 10x = 2x − 16 =?

−2x −2x Add −2x to both sides. 10(−2) 2(−2) − 16 =?

8x = −16 −20 −4 − 16

−16

8x

8=?

= Divide both sides by 8. ]

Write the first step you would take to solve each equation.

1. 3x + 2 = 7x

2. −4x − 6 = −10x

3. 15x + 7 = −3x Solve each equation. Check your answers.

4. 4x + 2 = 5(x + 10)

5. −10 + y + 3 = 4y − 13

6. 3(t + 7) + 2 = 6t − 2 + 2t

use this as a guide: ["Solve −3x + 9 = 4x + 9 − 7x. Check any value of x: −3x + 9 = −3x + 9 Combine like terms. Try x = 4.

−3x +3x Add 3x to each side. −3x + 9 = 4x + 9 − 7x =?

9 = 9 ✔ True statement. −3(4) + 9 4(4) + 9 − 7(4) =?

The solution is the set of all real numbers. −12 + 9 16 + 9 − 28 =?

olve 2x + 6 + 3x = 5x − 10. Check any value of x: 2x + 6 + 3x = 5x − 10 Try x = 1.

5x + 6 = 5x − 10 Combine like terms. 2x + 6 + 3x = 5x − 10 =?

−5x −5x Add −5x to each side. 2(1) + 6 + 3(1) 5(1) − 10 =?

6 = −10 🗶 False statement. 2 + 6 + 3 5 − 10 =?

There is no solution. 11 −5 🗶 "]

Solve each equation.

7. x + 2 = x + 4

8. −2x + 8 = 2x + 4

9. 5 + 3g = 3g + 5

10. 5x − 1 − 4x = x + 7

11. 2(f + 3) + 4f = 6 + 6

12. 3x + 7 − 2x = 4x + 10