How do you solve $15 x - 2 = 30 x + 8$ $15x - 2= 30x + 8$ ?

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Answer 1 · 2018-01-23T04:15:12

$x = - \frac{2}{3}$ $x=-2/3$

Solve:

$15 x - 2 = 30 x + 8$ $15x-2=30x+8$

Subtract $15 x$ $15x$ from both sides of the equation.

$15 x - 15 x - 2 = 30 x + 8 - 15 x$ $15x-15x-2=30x+8-15x$

Simplify.

$0 - 2 = 15 x + 8$ $0-2=15x+8$

$- 2 = 15 x + 8$ $-2=15x+8$

Subtract $8$ $8$ from both sides.

$- 2 - 8 = 15 x$ $-2-8=15x$

Simplify.

$- 10 = 15 x$ $-10=15x$

Divide both sides by $15$ $15$ .

$(-10)/15=(cancel(15)^1x)/cancel(15)^1$

Simplify.

$-10/15=x$

Reduce the fraction by dividing the numerator and denominator by $5$ .

$-(10-:5)/(15-:5)=x$

$-2/3=x$

Switch sides.

$x=-2/3$

How do you solve 15x - 2= 30x + 815x−2=30x+815x - 2= 30x + 8?