Solve 25(8a - 0.5) = 7.5 | 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

$$0.25(8a-0.5)=7.5$$

Solve for a

$a=3.8125$

Steps for Solving Linear Equation

Divide both sides by $0.25$.

$$8a-0.5=\frac{7.5}{0.25}$$

Expand $\frac{7.5}{0.25}$ by multiplying both numerator and the denominator by $100$.

$$8a-0.5=\frac{750}{25}$$

Divide $750$ by $25$ to get $30$.

$$8a-0.5=30$$

Add $0.5$ to both sides.

$$8a=30+0.5$$

Add $30$ and $0.5$ to get $30.5$.

$$8a=30.5$$

Divide both sides by $8$.

$$a=\frac{30.5}{8}$$

Expand $\frac{30.5}{8}$ by multiplying both numerator and the denominator by $10$.

$$a=\frac{305}{80}$$

Reduce the fraction $\frac{305}{80}$ to lowest terms by extracting and canceling out $5$.

$$a=\frac{61}{16}$$