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

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


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

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

Reorder the terms:
-6 + 3x = 2 + -5(-2 + x)
-6 + 3x = 2 + (-2 * -5 + x * -5)
-6 + 3x = 2 + (10 + -5x)

Combine like terms: 2 + 10 = 12
-6 + 3x = 12 + -5x

Solving
-6 + 3x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + 3x + 5x = 12 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-6 + 8x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 8x = 12 + 0
-6 + 8x = 12

Add '6' to each side of the equation.
-6 + 6 + 8x = 12 + 6

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

Combine like terms: 12 + 6 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

See similar equations:

| (3x+6)(x+3)=60 | | y*49/26=7/13 | | f(x)=-3x^2+2x+2 | | 2x-10/3x-5=6/5 | | (1/2y-5)+y=1000 | | 4y+2y=39 | | 2b^4= | | 4-3(2-x)=5x | | 11x+17-6x=2 | | (x^2+4x-16i-4xi)=0 | | 7/5*y=14/5 | | 5-7x+3=-3x-11+15x | | 12=10x+4x-16 | | 4/24=16/x | | 60/5=6/x | | 60/5=10/x | | x=1/2y-5 | | 12-4x=10x-16 | | 55/11=5/x | | 50/5=10/x | | 2/5*x=28 | | 7x+14=-15x-6 | | 0.30=log(x) | | 42/7=14/x | | 21x-6-18x+2=17x-8-14x+11 | | 42/7=6/x | | 7/42=6/x | | 3x^9u^2*7u^6*2x= | | 27x^2+3x-10=0 | | 2v^9x^2*3x^7*7v= | | 2.1+3b=1.8 | | 12/24=6/x |

Equations solver categories