What is the answer to 9(a-3)=-4(a+2) ?

The answer to 9(a-3)=-4(a+2) is a= 19/13

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9(a-3)=-4(a+2)

9 (a - 3) = - 4 (a + 2)

a = \frac{19}{13}

Decimal Notation

a = 1.46153 \dots

Solution steps

9 (a - 3) = - 4 (a + 2)

Expand

9 (a - 3) : 9 a - 27

Expand

- 4 (a + 2) : - 4 a - 8

9 a - 27 = - 4 a - 8

Move

27

to the right side

9 a = - 4 a + 19

Move

4 a

to the left side

13 a = 19

Divide both sides by

13

a = \frac{19}{13}

1 \frac{5}{7} = 1 \frac{13}{14} a

7 - \frac{5 x}{3} = \frac{3 x + 7}{8}

x, r = y + x

x, r = y - x

0.75 (8 + x) = 2 - 1.25 x