3(4x-3)-4(3x+8)=7(x-6)

Simple and best practice solution for 3(4x-3)-4(3x+8)=7(x-6) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(4x-3)-4(3x+8)=7(x-6) equation:


Simplifying
3(4x + -3) + -4(3x + 8) = 7(x + -6)

Reorder the terms:
3(-3 + 4x) + -4(3x + 8) = 7(x + -6)
(-3 * 3 + 4x * 3) + -4(3x + 8) = 7(x + -6)
(-9 + 12x) + -4(3x + 8) = 7(x + -6)

Reorder the terms:
-9 + 12x + -4(8 + 3x) = 7(x + -6)
-9 + 12x + (8 * -4 + 3x * -4) = 7(x + -6)
-9 + 12x + (-32 + -12x) = 7(x + -6)

Reorder the terms:
-9 + -32 + 12x + -12x = 7(x + -6)

Combine like terms: -9 + -32 = -41
-41 + 12x + -12x = 7(x + -6)

Combine like terms: 12x + -12x = 0
-41 + 0 = 7(x + -6)
-41 = 7(x + -6)

Reorder the terms:
-41 = 7(-6 + x)
-41 = (-6 * 7 + x * 7)
-41 = (-42 + 7x)

Solving
-41 = -42 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-41 + -7x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
-41 + -7x = -42 + 0
-41 + -7x = -42

Add '41' to each side of the equation.
-41 + 41 + -7x = -42 + 41

Combine like terms: -41 + 41 = 0
0 + -7x = -42 + 41
-7x = -42 + 41

Combine like terms: -42 + 41 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

See similar equations:

| 12-4=5x-25 | | 75=P+3.75P | | 9+6=54153 | | f(x)=4x-3x^2-5 | | 7x-y/-1 | | 10-2x=1000-2(100)+4(10)-2(2)+20(200)-3(20)+6(50)+8(30)+4(40) | | 2p+1=107 | | d=p+-33 | | 3b-8=7b-100 | | -2(w-5)=-18 | | -6n-20=-12n+4(1-3n) | | 10-2px=1000-2(100)+4(10)-2(2)+20(200)-3(20)+6(50)+8(30)+4(40) | | 2s-6=112 | | (V+5)(V+3)= | | 10q-39=9q-29 | | -2=-4/y | | 40=1/2(b+28) | | 2-5d=72 | | 5/6=u-2/9 | | H-2/3=2 | | 5x-1=1/729 | | 56=1/2(75+b) | | p=64d+4032 | | 875=70+55 | | 4(2y+3)-12y= | | 11q-3q-8=16 | | 875=70x+55y | | W^2-6w-14=0 | | -12=-3(z-11) | | 2x^2-4x=200 | | 7-t+14=19 | | 3(g+3)=18 |

Equations solver categories