Solve - 0.25(4k - 1) = 0.05(10k - 7) | 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

$$-0.25(4k-1)=0.05(10k-7)$$

Solve for k

$k=0.4$

Steps for Solving Linear Equation

Use the distributive property to multiply $-0.25$ by $4k-1$.

$$-k+0.25=0.05\left(10k-7\right)$$

Use the distributive property to multiply $0.05$ by $10k-7$.

$$-k+0.25=0.5k-0.35$$

Subtract $0.5k$ from both sides.

$$-k+0.25-0.5k=-0.35$$

Combine $-k$ and $-0.5k$ to get $-1.5k$.

$$-1.5k+0.25=-0.35$$

Subtract $0.25$ from both sides.

$$-1.5k=-0.35-0.25$$

Subtract $0.25$ from $-0.35$ to get $-0.6$.

$$-1.5k=-0.6$$

Divide both sides by $-1.5$.

$$k=\frac{-0.6}{-1.5}$$

Expand $\frac{-0.6}{-1.5}$ by multiplying both numerator and the denominator by $10$.

$$k=\frac{-6}{-15}$$

Reduce the fraction $\frac{-6}{-15}$ to lowest terms by extracting and canceling out $-3$.

$$k=\frac{2}{5}$$