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

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


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

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

Combine like terms: 3x + x = 4x
-3 + 4x = 2(x + -1) + -3

Reorder the terms:
-3 + 4x = 2(-1 + x) + -3
-3 + 4x = (-1 * 2 + x * 2) + -3
-3 + 4x = (-2 + 2x) + -3

Reorder the terms:
-3 + 4x = -2 + -3 + 2x

Combine like terms: -2 + -3 = -5
-3 + 4x = -5 + 2x

Solving
-3 + 4x = -5 + 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.
-3 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 2x = -5 + 0
-3 + 2x = -5

Add '3' to each side of the equation.
-3 + 3 + 2x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -5 + 3
2x = -5 + 3

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

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

Simplifying
x = -1

See similar equations:

| 4m+5m=27 | | 4(y-1)+5(y+1)=3(y+4)+1 | | 9(6y-5)= | | 0.6a-1.6=0.2a+0.4 | | x/-5-9=5 | | 3x^2+8-23=0 | | 3(2y-5)=2(4y-3)-21 | | -5=-2x^4+9x^2 | | 2(3x+4)-3(5x-6)+4(7x+8)= | | 12a+3=-2a+17 | | 9x-2=4x+19 | | 2/15=m/67.5 | | 4x+4=x+12 | | 28+x=28 | | -2-3x=-5 | | 5xy-15x-6y+18= | | -5+2x=9 | | -4+5+3=2-x+3 | | 5/8x1/16x=11/16+x | | -2x+10=10 | | -2+10=10 | | 5x-x/3=-28 | | 0=-16t^2+3t-14 | | 2n^2-36n+162= | | 3x^2-21x=-2x^2-9x-7 | | 4x^2+5x-23=13-2x | | 9x^2-56x+55=0 | | sin(x)/cos(x) | | a/3+3=12 | | 36a^2-60a+25= | | (x-5)*(x+6)=12 | | 9t-4=23+6t |

Equations solver categories