Solve (0.5x + 1)/8 = (0.3x)/3 | 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

$$\frac{0.5x+1}{8}=\frac{0.3x}{3}$$

Solve for x

$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$

Steps for Solving Linear Equation

Multiply both sides of the equation by $24$, the least common multiple of $8,3$.

$$3\left(0.5x+1\right)=8\times 0.3x$$

Use the distributive property to multiply $3$ by $0.5x+1$.

$$1.5x+3=8\times 0.3x$$

Multiply $8$ and $0.3$ to get $2.4$.

$$1.5x+3=2.4x$$

Subtract $2.4x$ from both sides.

$$1.5x+3-2.4x=0$$

Combine $1.5x$ and $-2.4x$ to get $-0.9x$.

$$-0.9x+3=0$$

Subtract $3$ from both sides. Anything subtracted from zero gives its negation.

$$-0.9x=-3$$

Divide both sides by $-0.9$.

$$x=\frac{-3}{-0.9}$$

Expand $\frac{-3}{-0.9}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{-30}{-9}$$

Reduce the fraction $\frac{-30}{-9}$ to lowest terms by extracting and canceling out $-3$.

$$x=\frac{10}{3}$$