12(x+3)-3(x-1)=4(x-1)+4(x-3)

Simple and best practice solution for 12(x+3)-3(x-1)=4(x-1)+4(x-3) 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 12(x+3)-3(x-1)=4(x-1)+4(x-3) equation: 


Simplifying
12(x + 3) + -3(x + -1) = 4(x + -1) + 4(x + -3)

Reorder the terms:
12(3 + x) + -3(x + -1) = 4(x + -1) + 4(x + -3)
(3 * 12 + x * 12) + -3(x + -1) = 4(x + -1) + 4(x + -3)
(36 + 12x) + -3(x + -1) = 4(x + -1) + 4(x + -3)

Reorder the terms:
36 + 12x + -3(-1 + x) = 4(x + -1) + 4(x + -3)
36 + 12x + (-1 * -3 + x * -3) = 4(x + -1) + 4(x + -3)
36 + 12x + (3 + -3x) = 4(x + -1) + 4(x + -3)

Reorder the terms:
36 + 3 + 12x + -3x = 4(x + -1) + 4(x + -3)

Combine like terms: 36 + 3 = 39
39 + 12x + -3x = 4(x + -1) + 4(x + -3)

Combine like terms: 12x + -3x = 9x
39 + 9x = 4(x + -1) + 4(x + -3)

Reorder the terms:
39 + 9x = 4(-1 + x) + 4(x + -3)
39 + 9x = (-1 * 4 + x * 4) + 4(x + -3)
39 + 9x = (-4 + 4x) + 4(x + -3)

Reorder the terms:
39 + 9x = -4 + 4x + 4(-3 + x)
39 + 9x = -4 + 4x + (-3 * 4 + x * 4)
39 + 9x = -4 + 4x + (-12 + 4x)

Reorder the terms:
39 + 9x = -4 + -12 + 4x + 4x

Combine like terms: -4 + -12 = -16
39 + 9x = -16 + 4x + 4x

Combine like terms: 4x + 4x = 8x
39 + 9x = -16 + 8x

Solving
39 + 9x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
39 + 9x + -8x = -16 + 8x + -8x

Combine like terms: 9x + -8x = 1x
39 + 1x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
39 + 1x = -16 + 0
39 + 1x = -16

Add '-39' to each side of the equation.
39 + -39 + 1x = -16 + -39

Combine like terms: 39 + -39 = 0
0 + 1x = -16 + -39
1x = -16 + -39

Combine like terms: -16 + -39 = -55
1x = -55

Divide each side by '1'.
x = -55

Simplifying
x = -55

See similar equations:

| 8w-16=12w+14 | | 10=x/3-1 | | 24+12x=15x+9 | | 2x-3=x-39 | | 12(x+3)-3(z-1)=4(z-1)+4(z-3) | | 7-5n=6n+73 | | -7m=9x+20 | | 11x-39=6x+26 | | p^2-14p-31=0 | | x=15-0.6x | | 24x+4=20x-8 | | sec^2x-6=-4 | | 6(3x-7)-6=6(x-3)+54 | | 8u+2u=3u | | (180/165)=n/(n-2) | | 2x+16=38 | | 8-(4x+7m)=5(x+6)-2 | | 0.40(x+80)+0.80x=68 | | 13x-(4x-6)=60 | | 3/8=2/2 | | -10=-8+6x-2 | | 4-3x=-3x+6 | | f(3)=-2(3)+5 | | 9x+3=17x | | 21x-26=23x-9 | | -5(1+6n)=10 | | -3(3s-3)-9=-2(8s+6)-2 | | Y+20=10(x+9) | | 6x-256=2 | | -4x^2+x-3=0 | | .90x+0.05(6-x)=0.10(71) | | 10n+100-10=600 |

Equations solver categories