Explanation:
![\tt{6 - 2x = 3}](https://img.qammunity.org/2022/formulas/mathematics/high-school/9c7vfhcjrxwpqnjtfth7dbsmto982oap0l.png)
We want to remove 6 first. Since the original equation is +6 , we are going to use the opposite operation and subtract 6 from both sides so as to remove 6.
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![\tt{6 - 6 - 2x = 3 - 6}](https://img.qammunity.org/2022/formulas/mathematics/high-school/s1t7lysh1pp3ou9iueb9fjqgnx5vdsad1y.png)
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![\tt{ - 2x = 3 - 6}](https://img.qammunity.org/2022/formulas/mathematics/high-school/p9oz64iumom5vu62be73a7rzml1o9f4i7d.png)
Subtract 6 from 3 on the right.
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![\tt{ - 2x = - 3}](https://img.qammunity.org/2022/formulas/mathematics/high-school/t57twzr2z5jahv75ehxeky8sqd5eex0z4z.png)
Now , we need to think about how to remove the coefficient -2 . Since the opposite of multiplication is division , we are going to divide both sides by -2.
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![\tt{ ( - 2x)/( - 2) = ( - 3)/( - 2)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/wc8wrxpyn024lha0uaq03ofk02euvabc5u.png)
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![{ \tt{x = (3)/(2)}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/50tg3eua28bayzvjebup9m53m8za960xxk.png)
![\pink{ \boxed{ \boxed{ \underline{ \tt {Our \: final \: answer : \boxed{ \underline{ \tt{x = (3)/(2)}}}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/gyntxss9x68ekbeakmqfc8nhfnefiudas2.png)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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