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

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


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

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

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

Reorder the terms:
-1 + -1x = 3(6 + 2x) + 2
-1 + -1x = (6 * 3 + 2x * 3) + 2
-1 + -1x = (18 + 6x) + 2

Reorder the terms:
-1 + -1x = 18 + 2 + 6x

Combine like terms: 18 + 2 = 20
-1 + -1x = 20 + 6x

Solving
-1 + -1x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + -1x + -6x = 20 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-1 + -7x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -7x = 20 + 0
-1 + -7x = 20

Add '1' to each side of the equation.
-1 + 1 + -7x = 20 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = 20 + 1
-7x = 20 + 1

Combine like terms: 20 + 1 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

See similar equations:

| 4x^2-11+15=4x+1 | | 7-4(1d-3)=23 | | 181-4x=41x+21 | | -8=x | | 2x^2+14x=-5 | | 13x=8x+20 | | 11-7x=45-21x | | 6x+4-2x-7= | | 5x^2-55x+15=0 | | -4=1+9 | | 2(x+9)=x+22 | | 10-10x=49-31x | | 4a-2(1a+9)=6 | | 5x+5=-79-7x | | 3(x-3)-16=2(x-8)+11 | | x^2-5x-5=-4x-3 | | 96=8+11a | | 3+4y=3y | | (5x-8)-(8x+9)= | | x^2-3x-15=3 | | -2(1p-5)+7p=-5 | | 50=9x-13 | | 7v^2-35v-42=0 | | 3-2x=0 | | -3(y-8)-3y=24 | | 2=11+3(1m+3) | | 13=1+4n | | 4w+5-3w=4-5 | | -2x-11=0 | | 17y-4-6y+8=2(4y-1) | | g(3)=4x-1 | | 5(1k-2)-8k=-34 |

Equations solver categories