2(x-5)=-3(2x-4)

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


Simplifying
2(x + -5) = -3(2x + -4)

Reorder the terms:
2(-5 + x) = -3(2x + -4)
(-5 * 2 + x * 2) = -3(2x + -4)
(-10 + 2x) = -3(2x + -4)

Reorder the terms:
-10 + 2x = -3(-4 + 2x)
-10 + 2x = (-4 * -3 + 2x * -3)
-10 + 2x = (12 + -6x)

Solving
-10 + 2x = 12 + -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.
-10 + 2x + 6x = 12 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-10 + 8x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 8x = 12 + 0
-10 + 8x = 12

Add '10' to each side of the equation.
-10 + 10 + 8x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 12 + 10
8x = 12 + 10

Combine like terms: 12 + 10 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

See similar equations:

| 7(x+3)=2(x+23) | | y=x^2+20 | | 218-3x=42x+18 | | 4(x-3)=78-6x | | 2x-6=66-7x | | w^2=9m | | 2x+9y=-7 | | 1000/x=2.1 | | 3p-1=(p-1)-2(7-2p) | | (x+4)2=x-6 | | 4x^2=-4x-1 | | a-22=17-55 | | 5m^2=m | | x(4x+5)(2x-3)=0 | | (y-8)(y+6)=0 | | 2h^2=-8h | | x^2+x+6=48 | | -3/19p=-4 | | -36-4x=9x-9 | | 2/3x=14 | | 7-7-z=-5 | | x^2+2x-65=-2 | | 2.7x=11.07 | | x^2+20=2x | | 8+1*2=x+3 | | 6d=1+c | | x^2+4x-84=-7 | | 16*8/15 | | 7+y=14 | | 5c-2d=0 | | 0.3+0.0004t=0.55 | | (7x+2)(3x-5)=0 |

Equations solver categories