How do you solve #-3(2-x)=5#?

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Answer 1 · 2016-12-12T15:59:18

#x=11/3#

Given:#color(brown)(" "-3(2-x)=5)#

Multiply everything inside the brackets by (-3)

#" "color(brown)(-6+3x" "=" "5)#

When multiplying or dividing, if the signs are the same then the answer is positive. If not the same then the answer is negative.

Add 6 to both sides

#" "color(brown)(color(blue)(+6)-6+3x" "=" "5color(blue)(+6))#

#" "color(brown)(0+3x" "=" "11)#

Divide both sides by 3

#" "color(brown)(3/(color(blue)(3))x" "=" "11/(color(blue)(3)))#

But #3/3=1#

#" "color(brown)(x=11/3)#