Answered

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multi step equation 6-x-3=4(x-2)

Sagot :

[tex]x=\frac{14}{5}[/tex]

Explanation

[tex]6-x=4(x-2)[/tex]

Step 1

apply the distributive property to eliminate the parenthesis

[tex]\begin{gathered} 6-x=4(x-2) \\ 6-x=4x-8 \end{gathered}[/tex]

Step 2

add x in both sides

[tex]\begin{gathered} 6-x=4x-8 \\ 6-x+x=4x-8+x \\ 6=5x-8 \end{gathered}[/tex]

Step 3

add 8 in both sides

[tex]\begin{gathered} 6=5x-8 \\ 6+8=5x-8+8 \\ 14=5x \end{gathered}[/tex]

Step 4

finally, divide each side by 5

[tex]\begin{gathered} 14=5x \\ x=\frac{14}{5} \end{gathered}[/tex]

I hope this helps you

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