#6 NEED HELP! BADLY!! What’s the solution set to – 1/6(x-18)+1/2(x+2)=x+8

Question

#6 NEED HELP! BADLY!! What’s the solution set to – 1/6(x-18)+1/2(x+2)=x+8

0

Answers ( No )

    0
    2021-11-26T09:03:15+00:00

    Hello,

    Never fear papaman is here to help.

    Answer

    Let’s solve your equation step-by-step.

    (−

    1

    6

    )(x−18)+

    1

    2

    (x+2)=x+8

    Step 1: Simplify both sides of the equation.

    (−

    1

    6

    )(x−18)+

    1

    2

    (x+2)=x+8

    (−

    1

    6

    )(x)+(−

    1

    6

    )(−18)+(

    1

    2

    )(x)+(

    1

    2

    )(2)=x+8(Distribute)

    −1

    6

    x+3+

    1

    2

    x+1=x+8

    (

    −1

    6

    x+

    1

    2

    x)+(3+1)=x+8(Combine Like Terms)

    1

    3

    x+4=x+8

    1

    3

    x+4=x+8

    Step 2: Subtract x from both sides.

    1

    3

    x+4−x=x+8−x

    −2

    3

    x+4=8

    Step 3: Subtract 4 from both sides.

    −2

    3

    x+4−4=8−4

    −2

    3

    x=4

    Step 4: Multiply both sides by 3/(-2).

    (

    3

    −2

    )*(

    −2

    3

    x)=(

    3

    −2

    )*(4)

    x=−6

    Answer:

    x=−6

    Have a nice day

    ~ Papa guy

    0
    2021-11-26T09:03:26+00:00

    simplify the equation to the form, which is simple to understand  

    -1/6(x-18)+1/2(x+2)=x+8

    Simplifying:

    -0.166666666667*(x-18)+1/2*(x+2)=x+8

    Simplifying:

    -0.166666666667*(x-18) + 0.5*(x+2)=x+8

    Reorder the terms in parentheses

    +(-0.166666666667x+3) + 0.5*(x+2)=x+8

    Remove unnecessary parentheses

    -0.166666666667x+3 + 0.5+*(+x+2+)=+x+8

    Reorder the terms in parentheses

    -0.166666666667x+3+( + 0.5x+1)=x+8

    Remove unnecessary parentheses

    -0.166666666667x+3 + 0.5x+1=+x+8

    move all terms containing x to the left and all other terms to the right.  

    -0.166666666667x + 0.5x-1x=+8-3-1

    simplify left and right side of the equation.  

    -0.666666666667x=+4

    divide both sides of the equation by -0.666666666667 to get x.  

    x=-6

    Hope I helped.

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