Solve 0.5+(3)/(4)x=0.25x-(3)/(2) | 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

$$0.5+ \frac{ 3 }{ 4 } x=0.25x- \frac{ 3 }{ 2 }$$

Solve for x

$x=-4$

Steps for Solving Linear Equation

Subtract $0.25x$ from both sides.

$$0.5+\frac{3}{4}x-0.25x=-\frac{3}{2}$$

Combine $\frac{3}{4}x$ and $-0.25x$ to get $\frac{1}{2}x$.

$$0.5+\frac{1}{2}x=-\frac{3}{2}$$

Subtract $0.5$ from both sides.

$$\frac{1}{2}x=-\frac{3}{2}-0.5$$

Convert decimal number $0.5$ to fraction $\frac{5}{10}$. Reduce the fraction $\frac{5}{10}$ to lowest terms by extracting and canceling out $5$.

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

Since $-\frac{3}{2}$ and $\frac{1}{2}$ have the same denominator, subtract them by subtracting their numerators.

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

Subtract $1$ from $-3$ to get $-4$.

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

Divide $-4$ by $2$ to get $-2$.

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

Multiply both sides by $2$, the reciprocal of $\frac{1}{2}$.

$$x=-2\times 2$$

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

$$x=-4$$