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

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


Simplifying
2x + -3(2 + -3x) = 4(x + -4) + -4
2x + (2 * -3 + -3x * -3) = 4(x + -4) + -4
2x + (-6 + 9x) = 4(x + -4) + -4

Reorder the terms:
-6 + 2x + 9x = 4(x + -4) + -4

Combine like terms: 2x + 9x = 11x
-6 + 11x = 4(x + -4) + -4

Reorder the terms:
-6 + 11x = 4(-4 + x) + -4
-6 + 11x = (-4 * 4 + x * 4) + -4
-6 + 11x = (-16 + 4x) + -4

Reorder the terms:
-6 + 11x = -16 + -4 + 4x

Combine like terms: -16 + -4 = -20
-6 + 11x = -20 + 4x

Solving
-6 + 11x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 11x + -4x = -20 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-6 + 7x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 7x = -20 + 0
-6 + 7x = -20

Add '6' to each side of the equation.
-6 + 6 + 7x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -20 + 6
7x = -20 + 6

Combine like terms: -20 + 6 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

See similar equations:

| 0.67(y+011)=-0.67(y-0.167) | | 289=176-u | | 6x-(3x-3)=27 | | 7x-5x+16=x+8 | | 6+0.6a=12 | | 94=-x+276 | | -x+25=3x+9 | | 4x+30=x+3 | | 5-6z=29 | | -x+26=2x+11 | | 3v+17=56 | | 57=4x+17 | | 9-6z=69 | | 3.5X(x+99)= | | 5x^2+11x+3=9x^2-1 | | h(x)=4x-4 | | x^6-x^5-1=0 | | F(1)=(x+9) | | 0.67y+0.0737w=-0.67y-0.11189 | | 3x^2+10x+3=4x^2+7x+3 | | 2w+15=49 | | 72=5y-13 | | 5x+6y+8= | | 2u-10=28 | | 2x-4+4=46+4 | | 6y=2(5y-17) | | 27-0.125w=18-0.083x | | x-y^4=0 | | 2w-9=17 | | 22-9=17 | | -11n+4(n-11)=-142 | | 6u=15.36 |

Equations solver categories