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Solve the equation: \(7x + 11 = 16 − 18x\)

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Question:

A
\(x=\frac{\mathrm{1} }{\mathrm{5}}\)

explanation

We need to isolate all terms containing \(x\) on one side of the equation. We can eliminate \(−18x\) from the right-hand side of \(7x + 11 = 16 − 18x\) by adding 18x to both sides of the equation.

\(7x + 11 = 16 − 18x\)

Add \(18x\) to both sides.

\(7x + 11 + 18x = 16 − 18x + 18x\)

Simplify both sides.

\(25x + 11 = 16\)

Next, eliminate 11 from the left-hand side of the last equation by subtracting 11 from both sides of the equation.

\(25x +11 - 11 = 16 - 11\)

\(25x = 5\)

Note how we have isolated all terms containing x on one side of the equation. Finally, to “undo” multiplying by 25, divide both sides of the equation by 25. Reduce to the lowest terms.

\( \frac{\mathrm{25x} }{\mathrm{25}}= \frac{\mathrm{5} }{\mathrm{25}} \)

\(x=\frac{\mathrm{1} }{\mathrm{5}}\)

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