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

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


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

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

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

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

Combine like terms: 5 + 2 = 7
5 + -3x = 7 + -1x

Solving
5 + -3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
5 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
5 + -2x = 7 + 0
5 + -2x = 7

Add '-5' to each side of the equation.
5 + -5 + -2x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 7 + -5
-2x = 7 + -5

Combine like terms: 7 + -5 = 2
-2x = 2

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

Simplifying
x = -1

See similar equations:

| 4x+6=x | | 11x+12=5x+120 | | 23x+3=y | | 18=30-3h | | 23x+3= | | Y=1.7x+40 | | 50-9m=11m | | x^3-7x^2+22x=0 | | 78=2c+c+12 | | [8(2-3)]2=x | | 6n=24 | | 3z+1=19 | | 6x+27=14x-53 | | 112=14p | | 8p-5(p+3)=3(7p-1) | | 8x+36=4(7-1x) | | -2b+6=-28 | | 8x+36=28-4x | | 10(7a-2)+9(a-2)= | | y-1.7y-5.3=(y+1.5) | | -10=a-10 | | 0=.6666x-10 | | 0=.6666-10 | | 9m-14=8 | | 6(7n-5m)+8m= | | .66x+4=.33x+3 | | 6a-4=2 | | 3x-(1+2x)= | | 83-2x=43x+18 | | 1.3a=2a | | 8-8x=68-22x | | 3x+3x^2=6 |

Equations solver categories