1. ) 3(𝑥 + 4) = −3𝑥
3𝑥 + 12 = −3𝑥
3𝑥 − 3𝑥 = −12
6𝑥 = −12
𝑥 = −12
6→ 𝑥 = −2
3. ) 𝑥 − 4 = 𝑥
4+20
4𝑥 − 16 = 𝑥 + 80
4𝑥 − 𝑥 = 80 + 16
3𝑥 = 96
𝑥 = 96
3→ 𝑥 = 32
5. ) 2𝑥 − 3
6−𝑥
4= 1
2(2𝑥 − 3)− 3𝑥 = 12
4𝑥 − 6 − 3𝑥 = 12
𝑥 = 12 + 6
𝑥 = 18
7. ) 6𝑥 + 6
3=4𝑥 + 6
4
24𝑥 + 24 =12𝑥 + 18
24𝑥 − 12𝑥 = 18 −24
12𝑥 = −6
𝑥 = −6
12 → 𝑥 = 1
2
9. ) 4𝑥 − 9
3−5𝑥 + 12
6= 3𝑥
2(4𝑥 − 9)− (5𝑥 + 12) = 6 ∙ 3𝑥
8𝑥 − 18 − 5𝑥 − 12 = 18𝑥
8𝑥 − 5𝑥 − 18 =18 +12
−15𝑥 = 30
𝑥 = 30
−15 → 𝑥 = −2
11. ) 2
3𝑥 − 4
3=1
2𝑥 − 3
2
2(𝑥 − 4) = 3(𝑥 − 3)
4𝑥 − 8 = 3𝑥 − 9
4𝑥 − 3𝑥 = −9 + 8
𝑥 = −1
2. ) 5𝑥
2= 4𝑥 + 3
5𝑥 = 8𝑥 + 6
5𝑥 − 8𝑥 = 6
3𝑥 = 6
𝑥 = 6
3→ 𝑥 = 2
4. ) 4(𝑥 − 5)
5− 3𝑥 = 𝑥 − 36
4𝑥 − 20 −15𝑥 = 5𝑥 − 180
4𝑥 − 15𝑥 − 5𝑥 = −180 +20
−16𝑥 = −160
𝑥 = −160
−16 → 𝑥 = 10
6. ) 𝑥 − 5
4= 13 + 3 − 4𝑥
9
9𝑥 − 45 =468 +12 −16𝑥
9𝑥 + 16𝑥 = 468 +12 +45
25𝑥 = 525
𝑥 = 525
25 → 𝑥 = 21
8. ) 2𝑥2+100𝑥 = 5𝑥2−407
2𝑥2− 5𝑥2= −407 − 100
−3𝑥2= −507
𝑥2=−507
−3 → 𝑥2=169 → 𝑥 = √169
𝑥 = 13 𝑦 𝑥 = −13
10. ) 5 − (𝑡 + 3)= −1 + 2(𝑡 − 3)
5 − 𝑡 − 3 = −1 + 2𝑡 − 6
−𝑡 − 2𝑡 = −1 − 6 − 5 + 3
−3𝑥 = −9
𝑥 = −9
−3 → 𝑥 = 3
12. ) 7𝑥3−12𝑥 + 5 = 4𝑥3+ 9𝑥 − 11 + 3𝑥3
7𝑥3− 4𝑥3− 3𝑥3− 9𝑥 = −11 − 5
−12𝑥 − 9𝑥 = −16
−21𝑥 = −16
𝑥 = −16
−21 → 𝑥 = 16
21
