Solving Equations Step by Step SACHS II
The first opposite
operation is:
2x + 15 = 21
–15
?
+15
× 2
÷ 2
2x + 15 = 21
2x =
–15
–15
The next opposite
operation is:
2x + 15 = 21
2x = 6
–15
× 2
÷ 2
?
–15
2x + 15 = 21
2x = 6
–15
÷ 2
x =
÷ 2
–15
The first opposite
operation is:
7x − 8 = 55
+ 8
?
− 8
× 7
÷ 7
7x − 8 = 55
7x =
+ 8
+8
The next opposite
operation is:
7x − 8 = 55
7x = 63
+ 8
÷ 7
?
× 7
+8
7x − 8 = 55
7x = 63
÷ 7
+ 8
x =
÷ 7
+8
The first opposite
operation is:
–3x + 11 = –4
+ 11
–11
?
+3
− 3
–3x + 11 = –4
–3x =
– 11
– 11
The next opposite
operation is:
–3x + 11 = –4
–3x = –15
÷ – 3
?
+ 3
– 11
– 11
–3x + 11 = –4
–3x = –15
÷ − 3
– 11
x =
÷ − 3
– 11
The first opposite
operation is:
28 – 5x = 13
− 5
+ 28
+ 5
– 28
?
– 28
28 – 5x = 13
– 5x =
– 28
The next opposite
operation is:
– 28
28 – 5x = 13
– 5x = –15
÷ − 5
?
+ 5
– 28
– 28
28 – 5x = 13
– 5x = –15
÷ − 5
x =
– 28
÷ − 5
The next line is:
4(x – 3) = 20
4x – 12 = 20
?
4x – 3 =20
The first opposite operation is:
4(x – 3) = 20
4x – 12 = 20
+ 12
?
÷ 4
× 4
− 12
4(x – 3) = 20
4x – 12 = 20
4x =
+12 
+12
The next opposite
operation is:
4(x – 3) = 20
4x – 12 = 20
÷ 4
?
– 4
4x = 32
+12 
+12
4(x – 3) = 20
4x – 12 = 20
4x = 32
+12 
÷ 4
x =
+12
÷ 4
The simplest opposite
operation is:
2
x
+ 3 = 9
– 3
?
× 2
+ 3
÷ 2
2
x
+ 3 = 9
2
x
– 3
=
– 3
The next opposite
operation is:
2
x
+ 3 = 9
2
x
– 3
× 2
?
÷ 2
= 6
– 3
2
x
+ 3 = 9
2
x
– 3
× 2
x =
= 6
– 3
× 2
The simplest opposite
operation is:
x + 7
4
 = 5
– 7
× 4
?
÷ 4
+ 7
x + 7
x + 7 =
4
x 4
 = 5
x 4
The next opposite
operation is:
x + 7
x + 7 = 20
4
x 4
 = 5
– 7
?
+7
x 4
x + 7
x + 7 = 20
4
– 7
x 4
x =
 = 5
– 7
x 4
The first opposite
operation is:
3x − 2.6 = 7.9
÷ 3
– 2.6
+ 2.6
?
× 3
3x − 2.6 = 7.9
+ 2.6
3x =
+ 2.6
The next opposite
operation is:
3x − 2.6 = 7.9
+ 2.6
3x = 10.5
÷ 3
?
× 3
+ 2.6
3x − 2.6 = 7.9
+ 2.6
3x = 10.5
÷ 3
x =
+ 2.6
÷ 3
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