What is x-[7+3(x-4)]+2[9-4(2x+3)] ?

The solution to x-[7+3(x-4)]+2[9-4(2x+3)] is -18x-1

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simplify x-[7+3(x-4)]+2[9-4(2x+3)]

simplify

x - [7 + 3 (x - 4)] + 2 [9 - 4 (2 x + 3)]

- 18 x - 1

Solution steps

x - (7 + 3 (x - 4)) + 2 (9 - 4 (2 x + 3))

- (7 + 3 (x - 4)) = - 3 x + 5

9 - 4 (2 x + 3) = - 8 x - 3

= x - 3 x + 5 + 2 (- 8 x - 3)

Expand

2 (- 8 x - 3) : - 16 x - 6

= x - 3 x + 5 - 16 x - 6

Group like terms

= x - 3 x - 16 x + 5 - 6

Add similar elements:

x - 3 x - 16 x = - 18 x

= - 18 x + 5 - 6

Subtract the numbers:

5 - 6 = - 1

= - 18 x - 1

\frac{5}{12} \div \frac{3}{8}

(3 x + 2 + 5 y) (3 x + 2 - 5 y)

(3 x + 3) (x + 2)

\frac{- 1}{e}

What is x-[7+3(x-4)]+2[9-4(2x+3)] ?
The solution to x-[7+3(x-4)]+2[9-4(2x+3)] is -18x-1