1) 3x – 1 = 2(x – 2)
3x – 1 = 2x – 4
3x – 2x = –4 + 1
x = –3
2) 3(x + 5) = 7 – 5x
3x + 15 = 7 – 5x
3x + 5x = 7 – 15
8x = –8
x = –1
3) 19(y – 9) = 3(y – 8)
19y – 171 = 3y – 24
19y – 3y = –24 + 171
16y = 147
y = 147/16 = 9 3/16
4) 4(x – 9) = 3(x – 8)
4x – 36 = 3x – 24
4x – 3x = –24 + 36
x = 12
5) 3(2x – 9) = 5(x – 4)
6x – 27 = 5x – 20
6x – 5x = –20 + 27
x = 7
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Answers & Comments
1) 3x – 1 = 2(x – 2)
3x – 1 = 2x – 4
3x – 2x = –4 + 1
x = –3
2) 3(x + 5) = 7 – 5x
3x + 15 = 7 – 5x
3x + 5x = 7 – 15
8x = –8
x = –1
3) 19(y – 9) = 3(y – 8)
19y – 171 = 3y – 24
19y – 3y = –24 + 171
16y = 147
y = 147/16 = 9 3/16
4) 4(x – 9) = 3(x – 8)
4x – 36 = 3x – 24
4x – 3x = –24 + 36
x = 12
5) 3(2x – 9) = 5(x – 4)
6x – 27 = 5x – 20
6x – 5x = –20 + 27
x = 7