12(3x+3)-7(2x-3)=2x-83

Simple and best practice solution for 12(3x+3)-7(2x-3)=2x-83 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(3x+3)-7(2x-3)=2x-83 equation:


Simplifying
12(3x + 3) + -7(2x + -3) = 2x + -83

Reorder the terms:
12(3 + 3x) + -7(2x + -3) = 2x + -83
(3 * 12 + 3x * 12) + -7(2x + -3) = 2x + -83
(36 + 36x) + -7(2x + -3) = 2x + -83

Reorder the terms:
36 + 36x + -7(-3 + 2x) = 2x + -83
36 + 36x + (-3 * -7 + 2x * -7) = 2x + -83
36 + 36x + (21 + -14x) = 2x + -83

Reorder the terms:
36 + 21 + 36x + -14x = 2x + -83

Combine like terms: 36 + 21 = 57
57 + 36x + -14x = 2x + -83

Combine like terms: 36x + -14x = 22x
57 + 22x = 2x + -83

Reorder the terms:
57 + 22x = -83 + 2x

Solving
57 + 22x = -83 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
57 + 22x + -2x = -83 + 2x + -2x

Combine like terms: 22x + -2x = 20x
57 + 20x = -83 + 2x + -2x

Combine like terms: 2x + -2x = 0
57 + 20x = -83 + 0
57 + 20x = -83

Add '-57' to each side of the equation.
57 + -57 + 20x = -83 + -57

Combine like terms: 57 + -57 = 0
0 + 20x = -83 + -57
20x = -83 + -57

Combine like terms: -83 + -57 = -140
20x = -140

Divide each side by '20'.
x = -7

Simplifying
x = -7

See similar equations:

| 3w^2=13w+10 | | -2x+3(2y)=14 | | 5+18r-3=9r+18-7r | | 101-6x=10+21 | | 2(2x+4)=28 | | 8(3x-5)=2(12x+1) | | (X+1)2+(x+2)2=(2x+1)(x+1) | | x-4=1-x | | 7+15m-2=9m+93-5m | | 3a+5b^2= | | -2x+4=-24 | | 2x-3(2)=12 | | 2s+11s=39 | | x^2+18x+110= | | 4x+3-5x-18=6-8x+7x-21 | | (x)(x)+4x=5 | | 8w-2=6+4w | | 3p+15p=108 | | -3(x+8)=4x+4 | | -21x+7x^2=0 | | 5x-3=5(x-2) | | 10n-13=3n+8 | | z/7=-13 | | 5a+4=9 | | -7.9x=63.2 | | 4x+x^2-65=0 | | -10=6z-2z-26 | | 4+3(3n-1)=46 | | x*x+x=65 | | 10w+4x=-84 | | 4c+3=47 | | 5x+12=234-7*7 |

Equations solver categories