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Problem: 7x - 3 (2x - 9) = 6x + 3
Please give me a clear explanation, I'm new to this unit.

Sagot :

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Answer:  [tex]x=\frac{24}{5}[/tex] , (decimal: x=4.8)

Step-by-step explanation:

[tex]7x-3\left(2x-9\right)=6x+3[/tex]

[tex]7x-6x+27=6x+3[/tex]

[tex]x+27=6x+3[/tex]

[tex]x+27-27=6x+3-27[/tex]

[tex]x=6x-24[/tex][tex]x-6x=6x-24-6x[/tex]

[tex]-5x=-24[/tex]

[tex]\frac{-5x}{-5}=\frac{-24}{-5}[/tex]

[tex]x=\frac{24}{5}[/tex]

Answer:

[tex]x=\frac{24}{5}[/tex]

Step-by-step explanation:

[tex]7x-3\left(2x-9\right)=6x+3[/tex]

Use the distributive property to multiply -3 by 2x-9:-

[tex]7x-6x+27=6x+3[/tex]

Combine 7x and -6x to get x:-

[tex]x+27=6x+3[/tex]

Subtract 6x from both sides:-

[tex]x+27-6x=3[/tex]

Combine x and -6x to get -5x:-

[tex]-5x+27=3[/tex]

Subtract 27 from both sides:-

[tex]-5x=3-27[/tex]

[tex]-5x=-24[/tex]

Divide both sides by -5:-

[tex]x=\frac{24}{5}[/tex]

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