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-2(1-4x)=3x+8find solution

Sagot :

x = 2

Explanation:[tex]-2\mleft(1-4x\mright)=3x+8[/tex]

Expanding the expression:

[tex]\begin{gathered} -2(1)\text{ -2(-4x) = 3x + 8} \\ -2\text{ + 8x = 3x + 8} \end{gathered}[/tex]

collect like terms by adding 2 to both sides:

[tex]\begin{gathered} -2\text{ + 2 + 8x = 3x + 8 + 2} \\ 8x\text{ = 3x + 10} \\ \\ \text{subtract 3x from both sides:} \\ 8x\text{ - 3x = 10} \\ 5x\text{ = 10} \end{gathered}[/tex][tex]\begin{gathered} \text{divide both sides by 5:} \\ \frac{5x}{5}\text{ = }\frac{10}{5} \\ x\text{ = 2} \end{gathered}[/tex]