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

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


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

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

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

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

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

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

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

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

| ln(9x+5)=4 | | 7y-9=2y | | 6+4x=.33(6x+9) | | 66.66666666666666666666666666666666666666666666666666666666666666666x+17=23 | | 6+4x=.33333(6x+9) | | 66.6666666666666666666666x+17=23 | | 66.6x+17=23 | | 15m-9n-6m=9n | | -51=-9x-6 | | (x-3)(5x+7)=0 | | 6=1/5(12s-6) | | .4x+10=20 | | 1/3(5y-4)=7 | | 84+y-25=180 | | 3*x^2=78 | | 36r^2-21g^2=0 | | a/6-7=-4 | | 122=(1.8XC)+32 | | 4r+2s=20 | | -5m+8m=2m+11 | | 16b^2+40bg+25g^2=0 | | 4r+25=20 | | 0.7x+17=23 | | 0.6x+17=23 | | x^2+3*y=14564 | | 0.67x+17=23 | | An=3n-7 | | 4m=4m | | 4m-n=10 | | 5p+24=p-96 | | 2x+12+4x-42=180 | | 3(2n-7)+-3=36 |

Equations solver categories