2-(3x-20)=4(x-2)

Simple and best practice solution for 2-(3x-20)=4(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 2-(3x-20)=4(x-2) equation:


Simplifying
2 + -1(3x + -20) = 4(x + -2)

Reorder the terms:
2 + -1(-20 + 3x) = 4(x + -2)
2 + (-20 * -1 + 3x * -1) = 4(x + -2)
2 + (20 + -3x) = 4(x + -2)

Combine like terms: 2 + 20 = 22
22 + -3x = 4(x + -2)

Reorder the terms:
22 + -3x = 4(-2 + x)
22 + -3x = (-2 * 4 + x * 4)
22 + -3x = (-8 + 4x)

Solving
22 + -3x = -8 + 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.
22 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
22 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -7x = -8 + 0
22 + -7x = -8

Add '-22' to each side of the equation.
22 + -22 + -7x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -8 + -22
-7x = -8 + -22

Combine like terms: -8 + -22 = -30
-7x = -30

Divide each side by '-7'.
x = 4.285714286

Simplifying
x = 4.285714286

See similar equations:

| 0.8x=0.6 | | 3x^2-18x+36=0 | | 19=-26 | | 9-5[4(a+3)-3a]= | | 8=-18 | | 0.125x=-7 | | 6-2p=14-4p | | Ax^2+2axy-2ay^2= | | x^2+(x+1)=130 | | a^3+5a-6=0 | | 5+4[c-5(c-5)]=0 | | 4x^2+16x^2y^2+92x^3= | | x^4+x^3=2x^2+6x+4 | | 5(y+5)=6(y-7) | | 9t-3=4t-2 | | 20A=5a | | 4x=6(5x+3) | | 3x^2-24x+144=0 | | 15=5(x-4)-(x-7) | | 2n^2-6n=-3 | | 7x-1-2(x+5)=-(x-3) | | -9.2x=18.4 | | 7+9(2w+3)=25 | | -100(x+7)=70(x-10) | | 2(3x-4)-3=2(x-5)+11 | | 15x-51=-3x+21 | | 7x-(4x+3)=7x-47 | | n^2-30n+255=0 | | 3(y+1)=5y+3 | | 0.7x+y=5.2 | | 2x-29=-14-3x | | 11x+9=2x-45 |

Equations solver categories