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1. Solve and identify the solution. 6(6x - 2) + 8(1 - 5x) = 2x

Respuesta :

apologiabiology

remember that you can do anything to an equation as long as you do it to both sides

remember the distributive property: a(b+c)=ab+ac

also commutative property of addition: a+b=b+a

so

6(6x-2)+8(1-5x)=2x

distribute

6(6x-2)=6(6x)+6(-2)=36x-12

8(1-5x)=8(1)+8(-5x)=8-40x


36x-12+8-40x=2x

group like terms

36x-40x-12+8=2x

add like terms

-4x-4=2x

add 4x to both sides to get x by itself

4x-4x-4=2x+4x

0-4=6x

-4=6x

divide both sides by 6

-4/6=(6x)/6

-2/3=x(6/6)

-2/3=x(1)

-2/3=x

x=-2/3

the solution is x=-2/3

Answer by JKismyhusbandbae:

[tex]\mathrm{Expand\:}6\left(6x-2\right)+8\left(1-5x\right):\quad -4x-4\\-4x-4=2x\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\-4x-4+4=2x+4\\Simplify\\-4x=2x+4\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\-4x-2x=2x+4-2x\\Simplify\\-6x=4\\\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{4}{-6}\\Simplify\\x=-\frac{2}{3}[/tex]

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