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

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


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

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

Reorder the terms:
-9 + 3x = 2(2 + x)
-9 + 3x = (2 * 2 + x * 2)
-9 + 3x = (4 + 2x)

Solving
-9 + 3x = 4 + 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.
-9 + 3x + -2x = 4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = 4 + 0
-9 + 1x = 4

Add '9' to each side of the equation.
-9 + 9 + 1x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 4 + 9
1x = 4 + 9

Combine like terms: 4 + 9 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

See similar equations:

| 8x-15=3x+3 | | 13-(2x+2)=2(x+2)-3x | | c+8=27 | | 2r^2=8-15r | | -4(4q+6)+2(q-7)= | | .33(42-18z)=2(8-4z) | | 1.5y=-x+6 | | t-33=18 | | 4n-9=-4 | | 5x+7x+1=25 | | f(x)=-x^2+2x-8 | | 4(3r-8)=0 | | 9x-7+5x+1=180 | | 6+.5h=21 | | 12(x+3)=2 | | 12x^2=20x | | 6x+4=5x-9 | | X^2-34x+253=0 | | 0.05x-0.05(4800-x)=160 | | 30x^2y-25xy^2= | | 2x+3(88c)=8 | | -w^2+3w-2=0 | | 4x*x+20x=-24 | | .05=7.50+.08 | | x^75=200 | | X^2+9=-1 | | .08=7.50+.05 | | x+3+5x-13=38 | | -w^2+3w+18=0 | | 42(2x-5)-3=11 | | 2(0.33x+1)=-0.66x+5 | | 12x+22=3x+220 |

Equations solver categories