Solve |2x - 9| = 7 - ScanMath

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Type your math problem... |2x - 9| = 7

x

Question

Solve the equation

x_{1} = 1, x_{2} = 8

Evaluate

∣ 2 x - 9 ∣ = 7

Separate the equation into 2 possible cases

2 x - 9 = 7 2 x - 9 = - 7

Solve the equation for x

More Steps

Evaluate

2 x - 9 = 7

Move the constant to the right-hand side and change its sign

2 x = 7 + 9

Add the numbers

2 x = 16

Divide both sides

\frac{2 x}{2} = \frac{16}{2}

Divide the numbers

x = \frac{16}{2}

Divide the numbers

More Steps

Evaluate

\frac{16}{2}

Reduce the numbers

\frac{8}{1}

Calculate

8

x = 8

x = 8 2 x - 9 = - 7

Solve the equation for x

More Steps

Evaluate

2 x - 9 = - 7

Move the constant to the right-hand side and change its sign

2 x = - 7 + 9

Add the numbers

2 x = 2

Divide both sides

\frac{2 x}{2} = \frac{2}{2}

Divide the numbers

x = \frac{2}{2}

Divide the numbers

More Steps

Evaluate

\frac{2}{2}

Reduce the numbers

\frac{1}{1}

Calculate

1

x = 1

x = 8 x = 1

Solution

x_{1} = 1, x_{2} = 8

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