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Algebra Worksheet step by step

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Question 1
7𝑥 + 3 = 18
7𝑥 + 3 − 3 = 18 − 3
7𝑥 = 15
7𝑥
15
=
7
7
𝑥 = 2
1
7
Question 2
3𝑦 − 13 = 10
3𝑦 − 13 + [ ] = 10 + [ ]
3𝑦 = [ ]
[ ]
3𝑦
=
3
3
𝑦 = [ ]
Question 3
3
𝑥 + 2 = 13
2
3
𝑥 + 2 − [ ] = 13 − [ ]
2
3
𝑥 = [ ]
2
3
2. ( 𝑥) = 2([ ])
2
3𝑥 = [ ]
[ ]
3𝑥
=
3
3
𝑥 = [
]
Question 4:
7𝑦 + 2 = 30
7𝑦 + 2 − [ ] = 30 − [
7𝑦 = [
]
]
[ ]
7𝑦
=
7
7
𝑦 =[
]
Question 5:
4𝑥 − 17 = 6
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Question 6
3𝑦 − 17 = 6
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Question 7
3
𝑡 +1 = 7
2
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Question 8
5𝑥 − 8 = 3𝑥 + 4
5𝑥 − 8 + 8 = 3𝑥 + 4 + 8
5𝑥 = 3𝑥 + 12
5𝑥 − 3𝑥 = 3𝑥 − 3𝑥 + 12
2𝑥 = 12
2𝑥 12
=
2
2
𝑥 = 6
Question 9
4𝑥 + 2 = −3𝑥 + 65
4𝑥 + 2 − [ ] = −3𝑥 + 65 − [ ]
4𝑥 + [ ]𝑥 = −3𝑥 + [ ] 𝑥 + 63
[ ] 𝑥 = 63
[ ]𝑥
63
=
[ ]
[ ]
𝑥 =
63
[ ]
𝑥 =
Question 10
−8𝑥 + 2 = −10𝑥 + 10
−8𝑥 + 2 − [ ] = −10𝑥 + 10 − [ ]
−8𝑥 = −10𝑥 + [ ]
−8𝑥 + [ ]𝑥 = −10𝑥 + [ ]𝑥 + [ ]
2𝑥 = [ ]
[ ]
2𝑥
=
2
2
𝑥 = [ ]
Question 11
90𝑤 + 7 = 81𝑤 + 70
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Question 12
−5𝑧 + 9 = −8𝑧 + 27
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Question 13
−5𝑤 + 18 = −8𝑤 + 36
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