3(x-2)=5(x-3)-9

Simple and best practice solution for 3(x-2)=5(x-3)-9 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)=5(x-3)-9 equation:


Simplifying
3(x + -2) = 5(x + -3) + -9

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

Reorder the terms:
-6 + 3x = 5(-3 + x) + -9
-6 + 3x = (-3 * 5 + x * 5) + -9
-6 + 3x = (-15 + 5x) + -9

Reorder the terms:
-6 + 3x = -15 + -9 + 5x

Combine like terms: -15 + -9 = -24
-6 + 3x = -24 + 5x

Solving
-6 + 3x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -24 + 0
-6 + -2x = -24

Add '6' to each side of the equation.
-6 + 6 + -2x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -24 + 6
-2x = -24 + 6

Combine like terms: -24 + 6 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

See similar equations:

| 17x+8+66+74+110=360 | | -13(2+2a)=208 | | 121x^2+100=0 | | 4x-5=6x-7 | | R^2-7r+1=-5 | | 4x+5=16-3x | | 5x-3=3(x-1) | | 17x-3+90+90+98=360 | | -5.56-2v=-2.4(v+2) | | 2x^2+12=-10 | | (2x+13)=x | | 2m+8+4m=28 | | 9/8=144/x | | 8x^2/y^3/4x^2y^3/6 | | (2x+13)-5=x | | 11x-2+86+94+94=360 | | -7b+4+(-b)+(-2)= | | v=u+12 | | (7x-19)+3x+14=180 | | 1.4(3n-3)+n=-9.1+0.3n | | yz=10 | | M-n=6 | | 28=3y+7 | | z=6x-y | | 6=-6+4v | | x+1/4=34/5 | | 7x-19+3x+14=180 | | 4.5=-7x+26.9 | | 8+v/3=-4 | | abs(3x-2)=10 | | 2.2(x-3)=-7.98+2.8x | | 2+v/4=-3.12 |

Equations solver categories