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

Simple and best practice solution for 3(2x+3)+2(x+1)=5(x+3)+2(x-1) 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(2x+3)+2(x+1)=5(x+3)+2(x-1) equation: 


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

Reorder the terms:
3(3 + 2x) + 2(x + 1) = 5(x + 3) + 2(x + -1)
(3 * 3 + 2x * 3) + 2(x + 1) = 5(x + 3) + 2(x + -1)
(9 + 6x) + 2(x + 1) = 5(x + 3) + 2(x + -1)

Reorder the terms:
9 + 6x + 2(1 + x) = 5(x + 3) + 2(x + -1)
9 + 6x + (1 * 2 + x * 2) = 5(x + 3) + 2(x + -1)
9 + 6x + (2 + 2x) = 5(x + 3) + 2(x + -1)

Reorder the terms:
9 + 2 + 6x + 2x = 5(x + 3) + 2(x + -1)

Combine like terms: 9 + 2 = 11
11 + 6x + 2x = 5(x + 3) + 2(x + -1)

Combine like terms: 6x + 2x = 8x
11 + 8x = 5(x + 3) + 2(x + -1)

Reorder the terms:
11 + 8x = 5(3 + x) + 2(x + -1)
11 + 8x = (3 * 5 + x * 5) + 2(x + -1)
11 + 8x = (15 + 5x) + 2(x + -1)

Reorder the terms:
11 + 8x = 15 + 5x + 2(-1 + x)
11 + 8x = 15 + 5x + (-1 * 2 + x * 2)
11 + 8x = 15 + 5x + (-2 + 2x)

Reorder the terms:
11 + 8x = 15 + -2 + 5x + 2x

Combine like terms: 15 + -2 = 13
11 + 8x = 13 + 5x + 2x

Combine like terms: 5x + 2x = 7x
11 + 8x = 13 + 7x

Solving
11 + 8x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
11 + 8x + -7x = 13 + 7x + -7x

Combine like terms: 8x + -7x = 1x
11 + 1x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + 1x = 13 + 0
11 + 1x = 13

Add '-11' to each side of the equation.
11 + -11 + 1x = 13 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 13 + -11
1x = 13 + -11

Combine like terms: 13 + -11 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

See similar equations:

| 2x+4y=220 | | Ln5/ln5-2ln3 | | 18+2x=6+-4 | | q-25=35 | | 18+2x=6-4 | | 4x-18=14-4x | | 225=7x+18 | | 2(w-1)+7=5-3w | | -13-6x=-4x+17 | | k+8=45 | | 1/5x-2.5=-17.2 | | 7-6x=9-7x | | f(x)-2/x3-4/x2 | | F(x)=x-2/x | | a+5a+6=0 | | 2(u-9)=-5u+38 | | 9w-28=2(w+7) | | 8(y+4)=5y+35 | | 2x+9=y+6 | | log(6x)=1 | | 19x-23y=-3 | | 4(x-E)+6=42 | | 38=-8w+5(w+7) | | 7x+4=6x+68 | | 3(y-7)-7y=-37 | | 3/4X8/3 | | 9x+8y=28 | | 3/4*8/3 | | -28=-4y+6(y-3) | | x-16=-118 | | 5371=4x+.75x^2 | | x=-1(1)+1+2(1)-4(-1)-3 |

Equations solver categories