SOLUTION: Hello, please could you help me solve the following equations and show the working out if possible, many thanks 2(1-x)+3(x+4)=5(x+3) x(2x+3)-4(x-1)=2x(x+1)

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hello, please could you help me solve the following equations and show the working out if possible, many thanks 2(1-x)+3(x+4)=5(x+3) x(2x+3)-4(x-1)=2x(x+1)       Log On


   

Question 172981: Hello, please could you help me solve the following equations and show the working out if possible, many thanks
2(1-x)+3(x+4)=5(x+3)
x(2x+3)-4(x-1)=2x(x+1)
Answer by monika_p(71) About Me  (Show Source):
You can put this solution on YOUR website!


1)
2(1-x)+3(x+4)=5(x+3)Complete multiplication using distributive property a(b + c) = ab + ac
2-2x+3x+12=5x+15 Group like terms on each side of the equal sign.
x+14=5x+15 Subtract x from both sides of the equation
x-x+14=5x-x+15
14=4x+15 Subtract 15 from both sides
14-15=4x+15-15
-1=4x divide both sides by 4
-1/4=x
2)
x(2x+3)-4(x-1)=2x(x+1) Complete multiplication
2x^2+3x-4x+4=2x^2+2x Group like terms on each side
2x^2-x+4=2x^2+2x subtract 2x^2 from both sides
2x^2-2x^2-x+4=2x^2-2x^2+2x
-x+4=2x add x to both sides
-x+x+4=2x+x
4=3x divide both sides by 3
x=4/3