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

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Answer 1 · 2018-01-23T04:15:12

#x=-2/3#

Solve:

#15x-2=30x+8#

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

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

Simplify.

#0-2=15x+8#

#-2=15x+8#

Subtract #8# from both sides.

#-2-8=15x#

Simplify.

#-10=15x#

Divide both sides by #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#