Mathematics

Question

if -12-4(-2x)= 4 then what is x?

2 Answer


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  • Answer:

    [tex]\boxed{\boxed{\sf x=2}}[/tex]

    Step-by-step explanation:

    [tex]\sf -12-4\left(-2x\right)=\:4[/tex]

    First, let's remove parentheses:

    [tex]\sf -12-4\times -2x=4[/tex]

    Simplify, multiply, 4 * -2x = -8x:

    [tex]\sf -12-(-8x)=4[/tex]

    ** Apply rule: - ( -a )= a

    [tex]\sf 12+8x=4[/tex]

    Now, let's regroup terms

    [tex]\sf 8x-12=4[/tex]

    Add 12 to both sides:

    [tex]\sf -12+8x+12=4+12[/tex]

    Simplify, 4 + 12= 16

    [tex]\sf 8x=16[/tex]

    Divide both sides by 8:

    [tex]\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]

    [tex]\sf x=2[/tex]

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  • Answer:

    [tex]hey \: buddy \: \\ this \: is \: your \: answer[/tex]

    Step-by-step explanation:

    1)Eliminate redundant parentheses

    [tex] - 12 - 4( - 2x) = 4 \\ - 12 - 4( - 2x) = 4[/tex]

    2)Multiply the numbers

    [tex] - 12 - 4( - 2)x = 4 \\ - 12 + 8x = 4[/tex]

    3)Rearrange terms

    [tex] - 12 + 8x =4 \\ 8x - 12 = 4[/tex]

    4)Simplify the equation

    [tex]8x = 12 + 4 \\ 8x = 16 \\ 8x \div 8 = 16 \div 8 \\ [/tex]

    5) Divide

    [tex]x = 2[/tex]

    hope I helped