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#
Solve the equation:

\(12x + 9 = 4x + 7\)

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Question:

\(12x + 9 = 4x + 7\)

A
\(\frac{{-1} }{{4} }\)

explanation

We need to isolate all terms containing \(x\) on one side of the equation. We can eliminate \(4x\) from the right-hand side of \(12x + 9 = 4x + 7\) by subtracting \(4x\) from both sides of the equation.

Subtract \(4x\) from both sides.

\(12x + 9 -4x = 4x + 7 - 4x\)

\(8x + 9 = 7\)

Next, eliminate 9 from the left-hand side of the last equation by subtracting 9 from both sides of the equation.

\(8x + 9 - 9= 7 - 9\)

\(8x = -2\)

Note how we have isolated all terms containing \(x\) on one side of the equation. Finally, to “undo” multiplying by 8, divide both sides of the equation by 8 and reduce to the lowest terms.

\(\frac{\mathrm{8x} }{\mathrm{8}} =\frac{\mathrm{-2} }{\mathrm{8} }\)

\(x=\frac{\mathrm{-1}}{\mathrm{4} }\)

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