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

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


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

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

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

Reorder the terms:
-2 + -6 + 2x + 3x = 2

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = 2

Combine like terms: 2x + 3x = 5x
-8 + 5x = 2

Solving
-8 + 5x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 2 + 8
5x = 2 + 8

Combine like terms: 2 + 8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

See similar equations:

| 5x=12y-36 | | 3k+1=19 | | 3/4(4)-2=5 | | x-10=2+4 | | (x^2+3x-4)-(5x^2+7)=0 | | 9a+24b= | | 2x(x)=3(x+1) | | 12n-45=504 | | 9x-9x-10x-x=11 | | -9+6x=-8 | | 2x(x)=(x+1) | | 150+325=100+225x | | 5x-x=3x+2 | | 4/5+=16 | | 2z+1/7=3z+6/7 | | x-6=5x+8-8 | | 78=10d-2 | | 30-10x=5x+15 | | 2a-5=7a+2 | | 8z+1/4=9z+3/4 | | -3x-6+8-2x=-8 | | -8=-9+6x | | x^2+36=25 | | 2y^2-23y+65=0 | | 4a+3a+5a-11a=20 | | 19=3z+7 | | x-65-x(.10)=250 | | -5.7=x+26 | | 5x-1.8-4.6x=0.4x-1.8 | | x^3+2x^2-15x=30 | | 5x+x+2=-16 | | 7x-126=3x-10 |

Equations solver categories