Solve 5x - 3/2 = 0.5x - 7/4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2.5x-\frac{3}{2}=0.5x-\frac{7}{4}$$

Solve for x

$x=-0.125$

Steps for Solving Linear Equation

Subtract $0.5x$ from both sides.

$$2.5x-\frac{3}{2}-0.5x=-\frac{7}{4}$$

Combine $2.5x$ and $-0.5x$ to get $2x$.

$$2x-\frac{3}{2}=-\frac{7}{4}$$

Add $\frac{3}{2}$ to both sides.

$$2x=-\frac{7}{4}+\frac{3}{2}$$

Least common multiple of $4$ and $2$ is $4$. Convert $-\frac{7}{4}$ and $\frac{3}{2}$ to fractions with denominator $4$.

$$2x=-\frac{7}{4}+\frac{6}{4}$$

Since $-\frac{7}{4}$ and $\frac{6}{4}$ have the same denominator, add them by adding their numerators.

$$2x=\frac{-7+6}{4}$$

Add $-7$ and $6$ to get $-1$.

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

Divide both sides by $2$.

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

Express $\frac{-\frac{1}{4}}{2}$ as a single fraction.

$$x=\frac{-1}{4\times 2}$$

Multiply $4$ and $2$ to get $8$.

$$x=\frac{-1}{8}$$

Fraction $\frac{-1}{8}$ can be rewritten as $-\frac{1}{8}$ by extracting the negative sign.

$$x=-\frac{1}{8}$$