Respuesta :
Answer:
x=-11
Step-by-step explanation:
3(1-3x)=2(-4x+7)
1) Distribute 3 to 1 and -3x:
3-9x=2(-4x+7)
2) Distribute 2 to -4x and 7:
3-9x=-8x+14
3) Subtract 3 from both sides::
-9x=-8x+11
4) Add 8x to both sides:
-1x=11
5) Divide both sides by -1:
x=-11
Footnotes:
-The Distributive property says a(b+c)=ab+ac
-When you have a negative variable, there is an implied (-1) before the variable :)
3(1 - 3x) = 2(- 4x + 7)
multiply the first bracket by 3
(3)(1)=3x
(3)(-3x)=9x
multiply the second bracket by 2
(2)(-4x)=8x
(2)(7)=14
3-9x=-8x+14
move -8x to the other side
sign changes from -8x to +8x
3-9x+8x=-9x+8x+14
3-x=14
move 3 to the other side
3-3-x=14-3
-x=11
multiply both sides by -1 to get +x
(-1)(-x)=x
(-1)(11)=-11
Answer:
x=-11