Question 172981

 
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