What is 3(x-2)-5(1-3x) ?

The solution to 3(x-2)-5(1-3x) is 18x-11

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simplify 3(x-2)-5(1-3x)

simplify

3 (x - 2) - 5 (1 - 3 x)

18 x - 11

Solution steps

3 (x - 2) - 5 (1 - 3 x)

Expand

3 (x - 2) : 3 x - 6

= 3 x - 6 - 5 (1 - 3 x)

Expand

- 5 (1 - 3 x) : - 5 + 15 x

= 3 x - 6 - 5 + 15 x

Group like terms

= 3 x + 15 x - 6 - 5

Add similar elements:

3 x + 15 x = 18 x

= 18 x - 6 - 5

Subtract the numbers:

- 6 - 5 = - 11

= 18 x - 11

\frac{2}{6 3}

2 x^{4} (x^{2} + 8 x + 15)

∣ - 7 + 2 ∣ + 1

8 (x^{2} + 2)

- \frac{2}{3} - \frac{3}{2}