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

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


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

Reorder the terms:
-3(-6 + 2x) = 7(6 + -1x)
(-6 * -3 + 2x * -3) = 7(6 + -1x)
(18 + -6x) = 7(6 + -1x)
18 + -6x = (6 * 7 + -1x * 7)
18 + -6x = (42 + -7x)

Solving
18 + -6x = 42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
18 + -6x + 7x = 42 + -7x + 7x

Combine like terms: -6x + 7x = 1x
18 + 1x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
18 + 1x = 42 + 0
18 + 1x = 42

Add '-18' to each side of the equation.
18 + -18 + 1x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 42 + -18
1x = 42 + -18

Combine like terms: 42 + -18 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

See similar equations:

| 3+2x+6x=59 | | 2(1)=4-x | | 4u+4=6u+18 | | 2910=4-x | | 5n-6=9 | | -23.2=9.8-4.4c | | 2y=4-0 | | 6x-4(x-2)=7x+18-4y | | 5-42= | | 2(0)=4-x | | 9*3-7=5*3+5 | | 2x+13=-10 | | 7+3x+7x=77 | | 1.8z-2.5=1.5z-2.8 | | 5+-2(y+1)=21 | | y^4-8y^2+16=0 | | 8n^2-18= | | 5(x+1)=5(x+5)-15 | | 5x+4=2x+3x+7 | | 10a-35=-8a-1 | | 4x^2-11x-45=0 | | 3n-12=-3 | | 4(5x+2)-5(3x+1)=2(x-1) | | 5x-2(x-2)=8x+21-4x | | x-4.5x+3.9=-1.7(x+3) | | -6x+7x= | | 5x^3-x^2=405x-81 | | 7y^2=-14y | | 16(x-1)=4(x+14) | | 108=7x+2x+9 | | -v+5+5v=1+5v+3 | | 4(x-4)=4x+16 |

Equations solver categories