3(x-1)-5=12-(6x-7)

Simple and best practice solution for 3(x-1)-5=12-(6x-7) 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(x-1)-5=12-(6x-7) equation:


Simplifying
3(x + -1) + -5 = 12 + -1(6x + -7)

Reorder the terms:
3(-1 + x) + -5 = 12 + -1(6x + -7)
(-1 * 3 + x * 3) + -5 = 12 + -1(6x + -7)
(-3 + 3x) + -5 = 12 + -1(6x + -7)

Reorder the terms:
-3 + -5 + 3x = 12 + -1(6x + -7)

Combine like terms: -3 + -5 = -8
-8 + 3x = 12 + -1(6x + -7)

Reorder the terms:
-8 + 3x = 12 + -1(-7 + 6x)
-8 + 3x = 12 + (-7 * -1 + 6x * -1)
-8 + 3x = 12 + (7 + -6x)

Combine like terms: 12 + 7 = 19
-8 + 3x = 19 + -6x

Solving
-8 + 3x = 19 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 3x + 6x = 19 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-8 + 9x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 9x = 19 + 0
-8 + 9x = 19

Add '8' to each side of the equation.
-8 + 8 + 9x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 19 + 8
9x = 19 + 8

Combine like terms: 19 + 8 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

See similar equations:

| 9x+3y=1050 | | 18.36=2.7g | | 8x^2+44x+20=0 | | -4x+2(-10)=-30 | | 16.91(3)=0.5x | | (-24)+36= | | 6(7x-4)=4 | | 16.91(3)=1x | | 9=6z | | ln(6x-5)=ln(5)-ln(x-1) | | 16-7y=4 | | 400-2a=206 | | 7.8(x-4)=-0.2+16.8 | | -4x^2+x^2-9x+10x-7+9= | | (x-8)(x-8)=144 | | 2.2=4xh | | ln(2x+1)=3.4 | | 5(2x+7)+(10x+5)+5= | | 6m-m= | | (m+5)+m=33 | | 125k^3+64= | | 5x+8y=3400 | | y-11=2(x-8) | | y=22x+625 | | 6(x^2)-6x-12=0 | | -5x-5x=52-2 | | 7x-4(3x+1)=9 | | 2.1x-8x= | | 7+p=p+7 | | 7s-6s= | | 14-3nx= | | s^2-34s-336=0 |

Equations solver categories