6(5x-1)-4(2x-3)=12(x-4)

Simple and best practice solution for 6(5x-1)-4(2x-3)=12(x-4) 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 6(5x-1)-4(2x-3)=12(x-4) equation:


Simplifying
6(5x + -1) + -4(2x + -3) = 12(x + -4)

Reorder the terms:
6(-1 + 5x) + -4(2x + -3) = 12(x + -4)
(-1 * 6 + 5x * 6) + -4(2x + -3) = 12(x + -4)
(-6 + 30x) + -4(2x + -3) = 12(x + -4)

Reorder the terms:
-6 + 30x + -4(-3 + 2x) = 12(x + -4)
-6 + 30x + (-3 * -4 + 2x * -4) = 12(x + -4)
-6 + 30x + (12 + -8x) = 12(x + -4)

Reorder the terms:
-6 + 12 + 30x + -8x = 12(x + -4)

Combine like terms: -6 + 12 = 6
6 + 30x + -8x = 12(x + -4)

Combine like terms: 30x + -8x = 22x
6 + 22x = 12(x + -4)

Reorder the terms:
6 + 22x = 12(-4 + x)
6 + 22x = (-4 * 12 + x * 12)
6 + 22x = (-48 + 12x)

Solving
6 + 22x = -48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 22x + -12x = -48 + 12x + -12x

Combine like terms: 22x + -12x = 10x
6 + 10x = -48 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + 10x = -48 + 0
6 + 10x = -48

Add '-6' to each side of the equation.
6 + -6 + 10x = -48 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -48 + -6
10x = -48 + -6

Combine like terms: -48 + -6 = -54
10x = -54

Divide each side by '10'.
x = -5.4

Simplifying
x = -5.4

See similar equations:

| 295=-x+136 | | 8-7x-2=-43+3x-11 | | 9t-7t-3=13 | | 7(2+v)+35v=10v | | 2a^2+2a+4=164 | | 11v-v=70 | | -x+276=235 | | 8.6=2+1.3y | | 6x=44+2x | | 12x^3+9x-9=0 | | 5+19y-3=9y+77-5y | | sqrt(6x+18)-9=-x | | -2(2n-5)=20 | | w^2+3w-588=0 | | 3b^2+8b+10=0 | | 6x-(3x+6)=5x-28 | | 2n+4(3-n)=2(2n+46) | | 2x-9+2x=-41 | | 16+log(15x+31)=15 | | 9k^2=-4k | | -9+4y+6-2y= | | 1/7=-2/3x | | log(x^2+2x-14)=0 | | 2-5y=10-y | | 5x^2-55x+151=1 | | 3h^2-gh=0 | | 2(5a+6u-9b)= | | 3a^2+2a=1 | | e-20=90 | | -.5*32*x^2+1000*x+50=0 | | g^2=4g | | 11.7x+3=15 |

Equations solver categories