This item has three parts. Eleanor incorrectly solves the equation $$\frac{1}{2}(x+18)=4(2 x-6)-9 x$$. Part A. Select the first equation in which Eleanor makes an error. ![](http://admin.getprephub.com/media/editor/6_20230225190929884922.png) Part B. Create an equation to correct Eleanor's error identified in Part A.

In the $$1^{\text {st }}$$ step, 2 has been multiplied both sides. But, the calculation for right side is wrong. The correct step would be $$x+18=8(2 x-6)-18$$ Given that, $$\frac{1}{2}(x+18)=4(2 x-6)-9 x$$ or, $$(x+18)=8(2 x-6)-18 x$$ [Multiplying both sides by 2 ] Or, $$x+18=16 x-48-18 x$$ Or, $$x+18=-2 x-48$$ Or, $$x+2 x=-48-18$$ [adding $$2 x-18$$ to both sides ] Or, $$3 x=-66$$ Or, $$x=-22$$ [dividing by 3 both sides]

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This item has three parts.

Eleanor incorrectly solves the equation $\frac{1}{2}(x+18)=4(2 x-6)-9 x$ .

Part A. Select the first equation in which Eleanor makes an error.

Part B. Create an equation to correct Eleanor’s error identified in Part A.

Select all that apply :

Step 1 is wrong; the correct equation is $x=-22$

Step 2 is wrong; the correct equation is $x=22$

Step 1 is wrong; the correct equation is $x=22$

Step 4 is wrong; the correct equation is $x=-20$

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