Solve |4-2x|=1 - ScanMath

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Type your math problem... |4-2x|=1

Question

Solve the equation

x_{1} = \frac{3}{2}, x_{2} = \frac{5}{2}

Alternative Form

x_{1} = 1.5, x_{2} = 2.5

Evaluate

∣ 4 - 2 x ∣ = 1

Separate the equation into 2 possible cases

4 - 2 x = 1 4 - 2 x = - 1

Solve the equation for x

More Steps

Evaluate

4 - 2 x = 1

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

- 2 x = 1 - 4

Subtract the numbers

- 2 x = - 3

Change the signs on both sides of the equation

2 x = 3

Divide both sides

\frac{2 x}{2} = \frac{3}{2}

Divide the numbers

x = \frac{3}{2}

x = \frac{3}{2} 4 - 2 x = - 1

Solve the equation for x

More Steps

Evaluate

4 - 2 x = - 1

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

- 2 x = - 1 - 4

Subtract the numbers

- 2 x = - 5

Change the signs on both sides of the equation

2 x = 5

Divide both sides

\frac{2 x}{2} = \frac{5}{2}

Divide the numbers

x = \frac{5}{2}

x = \frac{3}{2} x = \frac{5}{2}

Solution

x_{1} = \frac{3}{2}, x_{2} = \frac{5}{2}

Alternative Form

x_{1} = 1.5, x_{2} = 2.5

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