What is 7(2x-4)-(10-3x) ?

The solution to 7(2x-4)-(10-3x) is 17x-38

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simplify 7(2x-4)-(10-3x)

simplify

7 (2 x - 4) - (10 - 3 x)

17 x - 38

Solution steps

7 (2 x - 4) - (10 - 3 x)

Apply the distributive law:

- (a - b) = - a + b

- (10 - 3 x) = - 10 + 3 x

= 7 (2 x - 4) - 10 + 3 x

Expand

7 (2 x - 4) : 14 x - 28

= 14 x - 28 - 10 + 3 x

Group like terms

= 14 x + 3 x - 28 - 10

Add similar elements:

14 x + 3 x = 17 x

= 17 x - 28 - 10

Subtract the numbers:

- 28 - 10 = - 38

= 17 x - 38

\frac{1}{1 + 2 i} + \frac{1}{1 + 7 i}

4 \div \frac{7}{6}

(a^{x} + b^{n}) (a^{x} - b^{n})

2^{0.25}

(x^{- 3} y^{- 2} z^{0})^{- 2}