How do you solve #-4=-8+3(x-2)#?

Question

Ethan Adkins · Accepted Answer

#color(blue)(x=10/3# #−4=−8+3(x−2) # #−4=−8+3x− 3*2 # #−4=−8+3x− 6 # #−4=−8− 6 +3x # #−4=−14 +3x # #−4+14= 3x # #10= 3x # #color(blue)(x=10/3#

Hazel Anglin · Answer

#x=10/3# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Multiplying the brackets: #3(x-2)# is really 3 off # (x-2)# That is #(x-2) + (x-2)+(x-2)# So we end up with #x+x+x -2-2-2# Which is 3 of #x# written as #3x# and we also have 3 lots of #-2# which is #-6# So# 3(x-2) =3x-6# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So the original equation of #color(white)(xxxxxxx)color(brown)(-4=-8+3(x-2))# Becomes #color(white)(xxxxxxx)-4=-8 +3x-6# #color(white)(xxxxxxx)-4=3x-14# Add #color(blue)(14)# to both sides #color(white)(xxxxxxx)color(brown)(-4) color(blue)(+14) color(brown)(=3x-14)color(blue)(+14)# #color(white)(xxxxxxxxxxxxxx)10=3x# Divide both sides by 3 #color(white)(xxxxxxxxxxxxxx)10/3 = 3/3 x# #color(white)(xxxxxxxxxxxxxx)10/3 =x# Write as per convention #color(white)(xxxxxxxxxxxxxxxx)color(green)(x=10/3)#

Avery Alexander · Answer

undefined To solve the equation -4 = -8 + 3(x - 2), you would follow these steps:

1. Add 8 to both sides: -4 + 8 = -8 + 8 + 3(x - 2)
2. Simplify: 4 = 3(x - 2)
3. Divide both sides by 3: 4/3 = (x - 2)
4. Add 2 to both sides: 4/3 + 2 = x
5. Simplify: x = 10/3 or x ≈ 3.33