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

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


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

Reorder the terms:
-6 + 2x = -3(x + -2)

Reorder the terms:
-6 + 2x = -3(-2 + x)
-6 + 2x = (-2 * -3 + x * -3)
-6 + 2x = (6 + -3x)

Solving
-6 + 2x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 2x + 3x = 6 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 6 + 0
-6 + 5x = 6

Add '6' to each side of the equation.
-6 + 6 + 5x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 6 + 6
5x = 6 + 6

Combine like terms: 6 + 6 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

See similar equations:

| 3+y+6= | | 5x+4-7(x+1)=6x+4 | | 4(d+6)=12 | | 65a^2+40a=0 | | -x+3+2x=-1 | | -3(x+6)-45=4-52 | | -5(x+6)+5=-4 | | (7v)2= | | 5=3x-5x+7 | | 6x+90y=9 | | 20x-12-2x-2=10x-7 | | y^2=72 | | -70=-95x-15x^2 | | 4(x^2)+5x-1=0 | | ysquared-72=0 | | 64d^2+48d+9=0 | | 4x+10-6x=19-17x+15x-9 | | 21h^2-133h-98=0 | | 3q^2+51q+48=0 | | 5x-(3x+6)=3x-44 | | 12g^2-27=0 | | 4d^2-22d+30=0 | | 3p-2(2-2p)=2(p-2)-20 | | 9y^2+48y+48=0 | | 6y-2=41-2y | | 9h^2-108h-117=0 | | 7z^3-112z=6z^2-96 | | 7z^3-3z+40=0 | | 2.66+1.33z=-3-1.5z | | 5x-8-6x+12=3x+10 | | 7+m=-3 | | -21=3h |

Equations solver categories