An equation and the steps to solve it are shown below:

7x − one over two (8x + 4) = 6

Step 1: 7x − 4x − 2 = 6
Step 2: 3x − 2 = 6
Step 3: 3x − 2 + 2 = 6
Step 4: 3x = 6
Step 5: x = 2

Which step was the error made and why?

Step 1, because incorrect signs have been used

Step 2, because the terms have been added incorrectly

Step 3, because a number has been added only to one side of the equation

No error was made

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texaschic101 texaschic101 · Answer 1 · 2016-09-21T23:32:35+02:00

step 3....because a number has been added only to one side of the equation

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-06-17T13:22:08+02:00

Answer:

Step 3, because a number has been added only to one side of the equation

Step-by-step explanation:

Here, the given equation is,

[tex]7x-\frac{1}{2}(8x+4)=6[/tex]

The steps for solving this equation would be,

Step 1 : Apply distributive property on left side of the equation,

[tex]7x-4x-2=6[/tex]

Step 2 : Combine like terms in left side,

[tex]3x-2=6[/tex]

Step 3 : Add 2 on both sides ( additive property of equality ),

[tex]3x-2+2 = 6+2[/tex]

Step 4 : Combine like terms,

[tex]3x=8[/tex]

Step 5 : Isolate x,

[tex]x=\frac{8}{3}[/tex]

Thus, by the above explanation it is clear that he did it mistake on step 3, ( he did not add 2 on right side of the equation ),

Hence, Third option is correct.