5(2x-2)-(6-x)=2(x+3)

Simple and best practice solution for 5(2x-2)-(6-x)=2(x+3) 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 5(2x-2)-(6-x)=2(x+3) equation:


Simplifying
5(2x + -2) + -1(6 + -1x) = 2(x + 3)

Reorder the terms:
5(-2 + 2x) + -1(6 + -1x) = 2(x + 3)
(-2 * 5 + 2x * 5) + -1(6 + -1x) = 2(x + 3)
(-10 + 10x) + -1(6 + -1x) = 2(x + 3)
-10 + 10x + (6 * -1 + -1x * -1) = 2(x + 3)
-10 + 10x + (-6 + 1x) = 2(x + 3)

Reorder the terms:
-10 + -6 + 10x + 1x = 2(x + 3)

Combine like terms: -10 + -6 = -16
-16 + 10x + 1x = 2(x + 3)

Combine like terms: 10x + 1x = 11x
-16 + 11x = 2(x + 3)

Reorder the terms:
-16 + 11x = 2(3 + x)
-16 + 11x = (3 * 2 + x * 2)
-16 + 11x = (6 + 2x)

Solving
-16 + 11x = 6 + 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.
-16 + 11x + -2x = 6 + 2x + -2x

Combine like terms: 11x + -2x = 9x
-16 + 9x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 9x = 6 + 0
-16 + 9x = 6

Add '16' to each side of the equation.
-16 + 16 + 9x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 6 + 16
9x = 6 + 16

Combine like terms: 6 + 16 = 22
9x = 22

Divide each side by '9'.
x = 2.444444444

Simplifying
x = 2.444444444

See similar equations:

| -90194(100009372x+887264)=1 | | 2/9x-2=2/3 | | 5x+20x-7=5(5x+9) | | f(x)=15x^2-16 | | 4=c/6 | | 3/5x-9=10 | | 4-2/3f=-12 | | 6+5n=180 | | .07x+x=294058.42 | | 10x-15=200 | | 3x^5-24x^2=0 | | 6x^2-30x-7=0 | | z-34=-5 | | y-1=63(x-33) | | 22/z=2 | | b-7=b+3 | | y-19=-10 | | 6x-10x=3 | | 13v=7v+54 | | 999999999999999999=1 | | 13v=7v | | 8/16=2w | | 9m^3+12m^2+4m=0 | | .7=1-x+.05 | | iz^3+(2i-1)z^2-(i+4)z+3(2i-1)=0 | | 26y=2 | | -112=11x+9 | | 2.75=14.25-.20x | | 2x+6y=56y | | 2y=44-6x | | 5=7-x/4 | | 6y+5-5y=9-6 |

Equations solver categories