What is {(3a+4)+(5a-4)}-{(2a-6)-7a+9} ?

The solution to {(3a+4)+(5a-4)}-{(2a-6)-7a+9} is 13a-3

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simplify {(3a+4)+(5a-4)}-{(2a-6)-7a+9}

simplify

{(3 a + 4) + (5 a - 4)} - {(2 a - 6) - 7 a + 9}

13 a - 3

Solution steps

((3 a + 4) + (5 a - 4)) - ((2 a - 6) - 7 a + 9)

Simplify

((3 a + 4) + (5 a - 4)) - ((2 a - 6) - 7 a + 9) : 3 a + 4 + 5 a - 4 - ((2 a - 6) - 7 a + 9)

= 3 a + 4 + 5 a - 4 - ((2 a - 6) - 7 a + 9)

Group like terms

= - ((2 a - 6) - 7 a + 9) + 3 a + 5 a + 4 - 4

Add similar elements:

3 a + 5 a = 8 a

= - ((2 a - 6) - 7 a + 9) + 8 a + 4 - 4

Apply rule:

(a) = a

(2 a - 6) = 2 a - 6

= - (2 a - 6 - 7 a + 9) + 8 a + 4 - 4

Subtract the numbers:

4 - 4 = 0

= - (2 a - 6 - 7 a + 9) + 8 a

Simplify

- (2 a - 6 - 7 a + 9) : 5 a - 3

= 5 a - 3 + 8 a

Group like terms

= 5 a + 8 a - 3

Add similar elements:

5 a + 8 a = 13 a

= 13 a - 3

\frac{y}{y ^{3}}

9 \times 1 0^{9}

(m + 4)^{4}

(x + 2) (x + 1) (x - 1)

\frac{x ^{3} + x ^{2} - 5 x - 2}{x - 2}

What is {(3a+4)+(5a-4)}-{(2a-6)-7a+9} ?
The solution to {(3a+4)+(5a-4)}-{(2a-6)-7a+9} is 13a-3