Hey there!
Solve the equations :
(1) x = 5 ✅
(2) x = 4 ✅
(1) 4x - 3 = 2x + 7
>> Add 3 to each side :
4x - 3 + 3 = 2x + 7 + 3
4x = 2x + 10
>> Subtract 2x from both sides :
4x - 2x = 2x + 10 - 2x
2x = + 10
>> Divide each side by 2 :
2x / 2 = 10 / 2
x = 5
▪️Let's check our work :
4(5) - 3 ⇔ 20 - 3 ⇔ 17
2(5) + 7 ⇔ 10 + 7 ⇔ 17
Therefore, the answer is x = 5
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(2) 2x + 6 = 7x - 14
>> Subtract 6 from both sides :
2x + 6 - 6 = 7x - 14 - 6
2x = 7x - 20
>> Subtract 7x from each side :
2x - 7x = 7x - 20 - 7x
-5x = -20
>> Divide both sides by -5 :
-5x / -5 = -20 / -5
x = 4
▪️ Let's check out work :
2(4) + 6 ⇔ 8 + 6 ⇔ 14
7(4) - 14 ⇔ 28 - 14 ⇔ 14
Therefore, the answer is x = 4
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