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

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


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

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

Reorder the terms:
-9 + 3x = 2(-5 + x)
-9 + 3x = (-5 * 2 + x * 2)
-9 + 3x = (-10 + 2x)

Solving
-9 + 3x = -10 + 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 = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = -10 + 0
-9 + 1x = -10

Add '9' to each side of the equation.
-9 + 9 + 1x = -10 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -10 + 9
1x = -10 + 9

Combine like terms: -10 + 9 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

See similar equations:

| 16=-8-8y | | 2x^2-384=0 | | 4a-7=4a-9 | | 4x-7=4a-9 | | 9x-6=21x | | -2h-9-4h=17 | | 8y+5-y-2y= | | -8+-8+2x=360 | | -12x-8=x | | 15x+(40-x)=180 | | s*7+.67=.92 | | 2=6x^2-x | | 7=25-8x+3 | | 9x-8=21x | | 8(5+x)+5(1+x)=-33 | | 15u-2u+29=5u-27 | | 5x^2-37x=-14 | | 30-5x=-30 | | x-5+2x=-5 | | ln(x)+ln(3)=ln(12) | | -7+8(1+3r)=16 | | 19-18=h | | 5x+20=7x+24 | | 2(-3p-5)=-15-5p | | 3y-6=20y+79 | | 4(x+2)+2x=2(x+2)+4x | | 9=3x+37+4x | | 4(g-14)-6=10 | | 3v-15v-16=-52 | | 4b^2-4=24 | | 5+2a=29 | | 2(x+2)+2x=2(x+2)+4x |

Equations solver categories