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

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


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

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

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

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

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

Solving
-6 + 2x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = -2 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 1x = -2 + 0
-6 + 1x = -2

Add '6' to each side of the equation.
-6 + 6 + 1x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -2 + 6
1x = -2 + 6

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

See similar equations:

| -y+11=5 | | 1.08=10/23(1.8)+13/23(x) | | (X+3)-(1-3x)=2+2x | | r+14=-7 | | 23-(2c+3)=(c+5)+c | | 2.5x+175=7070 | | -5x+100=400 | | 2.5x+175=4000 | | -18=-3(-z+6)+2z | | 2(b-3)+5=3(b-1) | | 21x+97=0 | | 3(m+2)=27 | | 1=|g+3| | | 2000+25x=2000 | | 51=x+17 | | 3x=87-123 | | 55x-2x^2=0 | | -k-18=-5-k-133 | | 5x+9-4x=51-5x | | 6p+13=3p-5 | | -2(5x+5)=-40 | | -9+16g=5g+13 | | -18=3(-z+6)+22 | | 4(h+5)=40 | | y=-.0267x^2+.8x | | -18=-3(-z+6)+22 | | -5+12v=11v-7 | | 4x-3x+2x=24 | | 8u=6u-20 | | -.0267x^2+.8x=0 | | 5a=2a+18 | | 7(h-3)=14 |

Equations solver categories