Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you solve $3 (n - 1) = - 4 (n + 5) + 3$ $3(n - 1) = - 4( n + 5) + 3$ ?

1 Answer

Jumbotron · Stefan V.

Jun 10, 2017

$n = - 2$ $n=-2$

Explanation:

$3 (n - 1) = - 4 (n + 5) + 3$ $3(n-1)=-4(n+5)+3$

$3 n - 3 = - 4 n - 20 + 3$ $3n-3=-4n-20+3$

$3 n - 3 = - 4 n - 17$ $3n-3=-4n-17$

Combine like terms

$3 n + 4 n = - 17 + 3$ $3n+4n=-17+3$

$7 n = - 14$ $7n=-14$

$n = - \frac{14}{7}$ $n=-14/7$

$n = - 2$ $n=-2$

Related questions

How do you check solutions to equations with variables on both sides?
How do you solve $125 + 20 w - 20 w = 43 + 37 w - 20 w$ $125+20w-20w=43+37w-20w$ ?
How do you solve for x in $3 (x - 1) = 2 (x + 3)$ $3(x-1) = 2 (x+3)$ ?
Is there a way to solve for x without using distribution in $4 (x - 1) = 2 (x + 3)$ $4(x-1) = 2 (x+3)$ ?
How do you solve for t in $\frac{2}{7} (t + \frac{2}{3}) = \frac{1}{5} (t - \frac{2}{3})$ $2/7(t+2/3)=1/5(t-2/3)$ ?
How do you solve $5 n + 34 = - 2 (1 - 7 n)$ $5n + 34 = −2(1 − 7n)$ ?
How do you simplify first and then solve $- (1 + 7 x) - 6 (- 7 - x) = 36$ $−(1 + 7x) − 6(−7 − x) = 36$ ?
Why is the solution to this equation $- 15 y + 7 y + 1 = 3 - 8 y$ $-15y + 7y + 1 = 3 - 8y$ , "no solution"?
How do you solve for variable w in the equation $v = l w h$ $v=lwh$ ?
How do you solve $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$ for m?

See all questions in Equations with Variables on Both Sides

Impact of this question

1402 views around the world

You can reuse this answer
Creative Commons License