Solve -5/2=2-4x

$$\frac{ -5 }{ 2 } =2-4x$$

Solve for x

$$x = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$-\frac{5}{2}=2-4x$$

Swap sides so that all variable terms are on the left hand side.

$$2-4x=-\frac{5}{2}$$

Subtract 2 from both sides.

$$-4x=-\frac{5}{2}-2$$

Convert 2 to fraction \frac{4}{2}.

$$-4x=-\frac{5}{2}-\frac{4}{2}$$

Since -\frac{5}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$-4x=\frac{-5-4}{2}$$

Subtract 4 from -5 to get -9.

$$-4x=-\frac{9}{2}$$

Divide both sides by -4.

$$x=\frac{-\frac{9}{2}}{-4}$$

Express \frac{-\frac{9}{2}}{-4} as a single fraction.

$$x=\frac{-9}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$x=\frac{-9}{-8}$$

Fraction \frac{-9}{-8} can be simplified to \frac{9}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{8}$$