What is the answer to 5+7 a/4 =4-5 a/8 ?

The answer to 5+7 a/4 =4-5 a/8 is a=-8/19

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5+7 a/4 =4-5 a/8

5 + 7 \frac{a}{4} = 4 - 5 \frac{a}{8}

a = - \frac{8}{19}

Decimal Notation

a = - 0.42105 \dots

Solution steps

5 + 7 \cdot \frac{a}{4} = 4 - 5 \cdot \frac{a}{8}

Expand

5 + 7 \cdot \frac{a}{4} : 5 + \frac{7 a}{4}

Expand

4 - 5 \cdot \frac{a}{8} : 4 - \frac{5 a}{8}

5 + \frac{7 a}{4} = 4 - \frac{5 a}{8}

Multiply by LCM

40 + 14 a = 32 - 5 a

Move

40

to the right side

14 a = - 5 a - 8

Move

5 a

to the left side

19 a = - 8

Divide both sides by

19

a = - \frac{8}{19}

3 x + 18 = 24

- 2 (- 2 x + 4) = 2 (2 x - 4)

y, 4 x + 8 y = 16

y, 3 x - 4 y = 0

y, 3 x - 5 y = 0

What is the answer to 5+7 a/4 =4-5 a/8 ?
The answer to 5+7 a/4 =4-5 a/8 is a=-8/19
Solve for a: 5+7 a/4 =4-5 a/8
The solution is a=-8/19