How do you solve #-59+ 97- 90s = 56s - 6( 25s + 49)#?

1 Answer
Jim G.
May 21, 2017

#s=-83#

Explanation:

#"simplify left side and distribute bracket on right side"#

#rArr38-90s=56s-150s-294larr" simplify right side"#

#rArr38-90s=-94s-294#

#"collect terms in s on left and numeric values on right"#

#"add 94s to both sides"#

#38-90s+94s=cancel(-94s)cancel(+94s)-294#

#rArr38+4s=-294#

#"subtract 38 from both sides"#

#cancel(38)cancel(-38)+4s=-294-38#

#rArr4s=-332#

#"divide both sides by 4"#

#(cancel(4) s)/cancel(4)=(-332)/4#

#rArrs=-83#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left side "=-59+97-(90xx-83)=7508#

#"right side "=(56xx-83)-6(25xx-83+49)=7508#

#rArrs=-83" is the solution"#

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