2(3x-7)+7(x+7)=3(x+9)-x-6

Simple and best practice solution for 2(3x-7)+7(x+7)=3(x+9)-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 2(3x-7)+7(x+7)=3(x+9)-x-6 equation: 


Simplifying
2(3x + -7) + 7(x + 7) = 3(x + 9) + -1x + -6

Reorder the terms:
2(-7 + 3x) + 7(x + 7) = 3(x + 9) + -1x + -6
(-7 * 2 + 3x * 2) + 7(x + 7) = 3(x + 9) + -1x + -6
(-14 + 6x) + 7(x + 7) = 3(x + 9) + -1x + -6

Reorder the terms:
-14 + 6x + 7(7 + x) = 3(x + 9) + -1x + -6
-14 + 6x + (7 * 7 + x * 7) = 3(x + 9) + -1x + -6
-14 + 6x + (49 + 7x) = 3(x + 9) + -1x + -6

Reorder the terms:
-14 + 49 + 6x + 7x = 3(x + 9) + -1x + -6

Combine like terms: -14 + 49 = 35
35 + 6x + 7x = 3(x + 9) + -1x + -6

Combine like terms: 6x + 7x = 13x
35 + 13x = 3(x + 9) + -1x + -6

Reorder the terms:
35 + 13x = 3(9 + x) + -1x + -6
35 + 13x = (9 * 3 + x * 3) + -1x + -6
35 + 13x = (27 + 3x) + -1x + -6

Reorder the terms:
35 + 13x = 27 + -6 + 3x + -1x

Combine like terms: 27 + -6 = 21
35 + 13x = 21 + 3x + -1x

Combine like terms: 3x + -1x = 2x
35 + 13x = 21 + 2x

Solving
35 + 13x = 21 + 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.
35 + 13x + -2x = 21 + 2x + -2x

Combine like terms: 13x + -2x = 11x
35 + 11x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
35 + 11x = 21 + 0
35 + 11x = 21

Add '-35' to each side of the equation.
35 + -35 + 11x = 21 + -35

Combine like terms: 35 + -35 = 0
0 + 11x = 21 + -35
11x = 21 + -35

Combine like terms: 21 + -35 = -14
11x = -14

Divide each side by '11'.
x = -1.272727273

Simplifying
x = -1.272727273

See similar equations:

| 8d+4d-2d-6=3d | | -6=(a-3)-14 | | 6z+7z=6z-2+8z | | -9=-3(2n+5) | | 35=7(4x-13) | | .4x=x-48000 | | 7d-2d+6d-6=6d | | 12x-10=-2 | | 5(b-5)+19-3(4b-2)+5= | | t^2+9=0 | | 4x-4y-4z=4 | | 40/100=x-48000/x | | -12+6x=5x | | 4x-3(2x-9)=3(3x-8)+7x | | 2w+10-8w=-35 | | [5(b-5)+19]-[3(4b-2)+5]= | | 5x-3+1x-9=5x | | 1*7+8=9 | | 40/100=(x-48000/x) | | 180-x=460-5x | | -2x-24=10 | | -12(9x+1)=14 | | 5(x-4)=5x+13 | | C(Q)=42+5Q | | 0.7x-0.3(40+x)=0.1(40) | | (6c-1)=0 | | -5x+30=5 | | 180-x=10+5?90-x | | X+x(50-x)=80 | | 10t-20=15-10t | | 10=2+5(t+3) | | 2/2y-4=-1/1-3y |

Equations solver categories