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

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


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

Reorder the terms:
2(-5 + 3x) + -3(x + -2) = 2 + -1(x + -1) + -2x + -1
(-5 * 2 + 3x * 2) + -3(x + -2) = 2 + -1(x + -1) + -2x + -1
(-10 + 6x) + -3(x + -2) = 2 + -1(x + -1) + -2x + -1

Reorder the terms:
-10 + 6x + -3(-2 + x) = 2 + -1(x + -1) + -2x + -1
-10 + 6x + (-2 * -3 + x * -3) = 2 + -1(x + -1) + -2x + -1
-10 + 6x + (6 + -3x) = 2 + -1(x + -1) + -2x + -1

Reorder the terms:
-10 + 6 + 6x + -3x = 2 + -1(x + -1) + -2x + -1

Combine like terms: -10 + 6 = -4
-4 + 6x + -3x = 2 + -1(x + -1) + -2x + -1

Combine like terms: 6x + -3x = 3x
-4 + 3x = 2 + -1(x + -1) + -2x + -1

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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
-4 + 6x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 6x = 2 + 0
-4 + 6x = 2

Add '4' to each side of the equation.
-4 + 4 + 6x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 2 + 4
6x = 2 + 4

Combine like terms: 2 + 4 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

See similar equations:

| M+2n=0 | | 5+5n+n=6n+5 | | 5(2x-3)-3x=2x+10 | | 35r-500=55r | | -3x-8x+1=x+1 | | y=12x^2+16x^2+24x^2 | | b+-5=-3 | | f(x)=5x^2-10x-5 | | 12x+2y=6whatisy | | -7+6x-4x=1+6x | | -18-6k=6(+3k) | | gj+kl=3gk-pk | | -4v+6v=12+4-5v-v | | -5(3-6)+4=5q-11 | | 2x-12x=7-5 | | -4b+10=6-3b | | r-2(s+3)=14 | | 11k-22+-4K-6=0 | | 3(m+2)+5(m-2)= | | a*3+7=16 | | -6logx=12 | | 3x^3+18=0 | | 8.2-4.15x=3+3.23x | | 8z-z=-3+2z-1-1 | | 6x(x+2)=(2x+4)(x+2) | | 4t+3t-2t= | | -10x-6y=-24 | | 3n+8=4n+13 | | 16x=114 | | ((-3x)-2)(4x-4)=((-3x)-2)(11x+1) | | 7x+5=x-49 | | 5x=3+3y |

Equations solver categories