3(x+2)+2(x-4)=x-3(x-3)

Simple and best practice solution for 3(x+2)+2(x-4)=x-3(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 3(x+2)+2(x-4)=x-3(x-3) equation:


Simplifying
3(x + 2) + 2(x + -4) = x + -3(x + -3)

Reorder the terms:
3(2 + x) + 2(x + -4) = x + -3(x + -3)
(2 * 3 + x * 3) + 2(x + -4) = x + -3(x + -3)
(6 + 3x) + 2(x + -4) = x + -3(x + -3)

Reorder the terms:
6 + 3x + 2(-4 + x) = x + -3(x + -3)
6 + 3x + (-4 * 2 + x * 2) = x + -3(x + -3)
6 + 3x + (-8 + 2x) = x + -3(x + -3)

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

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

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

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

Reorder the terms:
-2 + 5x = 9 + x + -3x

Combine like terms: x + -3x = -2x
-2 + 5x = 9 + -2x

Solving
-2 + 5x = 9 + -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.
-2 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-2 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 7x = 9 + 0
-2 + 7x = 9

Add '2' to each side of the equation.
-2 + 2 + 7x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 9 + 2
7x = 9 + 2

Combine like terms: 9 + 2 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

See similar equations:

| (17x+6)-(7x-2)=39 | | d/-5=-7 | | 2x+8=6x+14 | | 5c(2/c-3a) | | A=CB | | x^2-4x+780=0 | | 3x-9=6x+2 | | 5n+3-2n=7n+4 | | 3(x^3+4)=27 | | x+3x=3x-7 | | x^4-13x^2+32=0 | | k=30 | | In(4x)+in(6x^2)=10 | | 47=-5x+17 | | 5ab=10a | | 2(4y-5)-(3y+6)=2y(y+3) | | 3/5+3/4= | | 3,65=% | | 10Y=55x | | 18y=55x | | 5x+12=30-x | | g+6=10 | | 156+3x^2=0 | | 4x+3=1x+-9 | | (2x+1)(3x-1)=25 | | 5x-8=x+9 | | 4+(x-1)-3+(2-x)=2 | | 18x^3-9x^2-20x=0 | | Z^3+11*Z^2+11*Z+1=0 | | 1/4z=36 | | 7(h-3)=56 | | 216=(6-3)(36+x) |

Equations solver categories