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

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


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

Remove parenthesis around (2 + -1x)
2 + -1x + 3(x + -1) = 3x + -3

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

Reorder the terms:
2 + -3 + -1x + 3x = 3x + -3

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

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

Reorder the terms:
-1 + 2x = -3 + 3x

Solving
-1 + 2x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 2x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + -1x = -3 + 0
-1 + -1x = -3

Add '1' to each side of the equation.
-1 + 1 + -1x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -3 + 1
-1x = -3 + 1

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

See similar equations:

| 4=-8v+4(v+8) | | 2x-x=-9-3 | | 3w^2-370w+9000=0 | | 4x+3-6x=12-19x+17x-9 | | 2x+4=x-17 | | x+4(9-x)=x-12 | | 3X+2+5X-1=5-3X+5 | | 3w^2-185w+9000=0 | | 5x+14-4=0 | | 8x-4=-2+6x | | 3X+2+5X-1=5-13X+5 | | x^2-120x+10=0 | | 2z-28=-32+6z | | log(y-35)=5t | | 6+7n-5=9n+17-4n | | ln(y-35)=5t | | 3t+11t=70 | | x/16=-29 | | 9t-15=-27+7t | | ((4x-3)/2)-((16x-33)/22)=4/11 | | 3t=-75 | | 12(4x-9)=4(12x+2) | | 5n-11=1+n | | 4+4m-2=9m+23-2m | | (0.8-x)(0.7-x)+(0.3)(0.2)=0 | | 4.2q-3.6-5.3q=-2.1q-4.2 | | 5-4x=-4-x | | 0.7x=0.9x+1+0.3x | | 127796483=3.14r^2 | | 3s+15s=90 | | 3x^3+7x+12=0 | | z/6=-26 |

Equations solver categories