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

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


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

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

Reorder the terms:
-6 + 3x + -5(-3 + x) = 1
-6 + 3x + (-3 * -5 + x * -5) = 1
-6 + 3x + (15 + -5x) = 1

Reorder the terms:
-6 + 15 + 3x + -5x = 1

Combine like terms: -6 + 15 = 9
9 + 3x + -5x = 1

Combine like terms: 3x + -5x = -2x
9 + -2x = 1

Solving
9 + -2x = 1

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 1 + -9

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

Combine like terms: 1 + -9 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

See similar equations:

| x/3+5x=1/2 | | X^3-22x^2=0 | | 1/5x-1/4x+1/3x=(-17)/60 | | 5x^2-68=-3x | | 24/2.4 | | 7x-2x=3 | | f(a)=-4 | | x+4/6=5/6-(x-1)/4 | | 4x^11*z^9/24 | | 1-5y=1 | | 15(x-11)=4x | | x*x+4x-5=0 | | 5a(3x-4y)=7ax-9 | | 4x^11z^9/24 | | -6x+23=-13 | | 3-3a=7-2(2a+6) | | x+4/6=5/6-x-1/4 | | (Y-11)-(y+8)=8y | | 3x-4y+3=14 | | (x^2-14x+45)/3x | | 45+415= | | 8-4.2b=5.6b-3 | | 0.3x+0.2(10)=0.1(x+30) | | 5x^2+8x+320=0 | | 5x^2+8x+320=0 | | -6(X+23)=-13 | | 2/3x+309=711 | | 20-(x+6)=6x+7 | | 9k+35= | | 2w-3(-6z+4w)-3z=equation | | 4y-3=-(4y+3) | | 2.5=8.8+y |

Equations solver categories