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Debora [2.8K]
1 year ago
15

If ax - 7=b(x+2). then x =

Mathematics
1 answer:
ale4655 [162]1 year ago
7 0

x=\frac{2b+7}{(a-b)}

Explanation

ax-7=b(x+2)

Step 1

apply distributive property to eliminate the parenthesis

\begin{gathered} ax-7=b(x+2) \\ ax-7=bx+2b \end{gathered}

Step 2

add 7 in both sides

\begin{gathered} ax-7=bx+2b \\ ax-7+7=bx+2b+7 \\ ax=bx+2b+7 \\  \end{gathered}

Step 3

subtract bx in both sides

\begin{gathered} ax=bx+2b+7 \\ ax-bx=bx+2b+7-bx \\ ax-bx=2b+7 \\ \text{factorize x} \\ x(a-b)=2b+7 \end{gathered}

Step 4

finally, divide both sides by (a-b)

\begin{gathered} \frac{x(a-b)}{(a-b)}=\frac{2b+7}{(a-b)} \\  \\ x=\frac{2b+7}{(a-b)} \end{gathered}

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