3(x-2)-5=8-2(x-2)

Simple and best practice solution for 3(x-2)-5=8-2(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 3(x-2)-5=8-2(x-2) equation:


Simplifying
3(x + -2) + -5 = 8 + -2(x + -2)

Reorder the terms:
3(-2 + x) + -5 = 8 + -2(x + -2)
(-2 * 3 + x * 3) + -5 = 8 + -2(x + -2)
(-6 + 3x) + -5 = 8 + -2(x + -2)

Reorder the terms:
-6 + -5 + 3x = 8 + -2(x + -2)

Combine like terms: -6 + -5 = -11
-11 + 3x = 8 + -2(x + -2)

Reorder the terms:
-11 + 3x = 8 + -2(-2 + x)
-11 + 3x = 8 + (-2 * -2 + x * -2)
-11 + 3x = 8 + (4 + -2x)

Combine like terms: 8 + 4 = 12
-11 + 3x = 12 + -2x

Solving
-11 + 3x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-11 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-11 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 5x = 12 + 0
-11 + 5x = 12

Add '11' to each side of the equation.
-11 + 11 + 5x = 12 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 12 + 11
5x = 12 + 11

Combine like terms: 12 + 11 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

See similar equations:

| -1+4(1-3x)=-33-6 | | 42/3-2 | | 6x=4w/y | | 12+5y=18+3h | | 4-4x=-2x-4 | | 4x+6y=-5 | | 5p+2=10-p | | x/4+7+12 | | 3n+8=n+4 | | 2x-6=2(x+2) | | -3/5=-1/6-5/4m | | 4.25(5)+2.50=x | | 2x^2-5x=12 | | (2r+4/4)=(2r-2/2) | | 14x-2x+5x=-68 | | 2x-20=42 | | (4/(x+8))-1=(5/(x+8)) | | (x^4-100)/(x^2+10) | | 14+4(x-5)=6-2z | | 15x+42=8x-84 | | (a/4)=(a-2/3) | | 3x-5-4-6x=3-2x | | (x^4-100)/(x^2+100) | | (x/6)=(14/3) | | 5(k+3)+7k=39 | | -6r+2(r+5)=-20 | | (10/x)=(5/7) | | 3x-4+1=2x-5-5x | | 5-3t=-1+2-3t | | a^4-5a^2+4=0 | | 8*3.3+4b=28 | | 1-8(-a+8)=17-8a |

Equations solver categories