3(x-2)-4(2x-3)=2(3x-1)-3(3x+1)+3

Simple and best practice solution for 3(x-2)-4(2x-3)=2(3x-1)-3(3x+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-2)-4(2x-3)=2(3x-1)-3(3x+1)+3 equation: 


Simplifying
3(x + -2) + -4(2x + -3) = 2(3x + -1) + -3(3x + 1) + 3

Reorder the terms:
3(-2 + x) + -4(2x + -3) = 2(3x + -1) + -3(3x + 1) + 3
(-2 * 3 + x * 3) + -4(2x + -3) = 2(3x + -1) + -3(3x + 1) + 3
(-6 + 3x) + -4(2x + -3) = 2(3x + -1) + -3(3x + 1) + 3

Reorder the terms:
-6 + 3x + -4(-3 + 2x) = 2(3x + -1) + -3(3x + 1) + 3
-6 + 3x + (-3 * -4 + 2x * -4) = 2(3x + -1) + -3(3x + 1) + 3
-6 + 3x + (12 + -8x) = 2(3x + -1) + -3(3x + 1) + 3

Reorder the terms:
-6 + 12 + 3x + -8x = 2(3x + -1) + -3(3x + 1) + 3

Combine like terms: -6 + 12 = 6
6 + 3x + -8x = 2(3x + -1) + -3(3x + 1) + 3

Combine like terms: 3x + -8x = -5x
6 + -5x = 2(3x + -1) + -3(3x + 1) + 3

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

Reorder the terms:
6 + -5x = -2 + 6x + -3(1 + 3x) + 3
6 + -5x = -2 + 6x + (1 * -3 + 3x * -3) + 3
6 + -5x = -2 + 6x + (-3 + -9x) + 3

Reorder the terms:
6 + -5x = -2 + -3 + 3 + 6x + -9x

Combine like terms: -2 + -3 = -5
6 + -5x = -5 + 3 + 6x + -9x

Combine like terms: -5 + 3 = -2
6 + -5x = -2 + 6x + -9x

Combine like terms: 6x + -9x = -3x
6 + -5x = -2 + -3x

Solving
6 + -5x = -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.
6 + -5x + 3x = -2 + -3x + 3x

Combine like terms: -5x + 3x = -2x
6 + -2x = -2 + -3x + 3x

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

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

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

See similar equations:

| 3(2-3x)-2(5x-1)-3-2x=0 | | x-2(x-3)=5x+3(2x+2) | | 9x+24=5x+120 | | 5(3-x)-3(5-x)=0 | | -11=11(c-3) | | 99-5x=31x+15 | | 265-6x=39x+15 | | x^3+7x^2+200=0 | | 6(x-5)=-30 | | 15x=3(x-1)-4(1-x) | | -3=3(x+6) | | 149-5x=22x+23 | | 5x+13=-137-10x | | 7-5(x-2)=5-3(x+3) | | 11-9x=29-16x | | -9+2z=9z+12 | | 2(x-1)-3(2-x)+4(1-x)=0 | | -23-4x=9-8x | | -134-7x=8x+16 | | -5(k+5)+5k= | | 5(b-4)+25= | | 0=3(2-3x)-7(x-3) | | 10+2(4y+3)= | | 3x-2(12-x)=4(2x-3)+3(x+1) | | 6-5c=-14 | | 6(1-x)+4=3(2-x)-4 | | 4x+10=90-6 | | 40-2(x+1)=90 | | 4k+6=6k-2 | | 6(2x+1)+7=9x+1 | | 6x+9=-119-10x | | 3(7x-1)+8(3-2x)=1 |

Equations solver categories