2(x-3)-3(x-2)=x+9-(x-7)

Simple and best practice solution for 2(x-3)-3(x-2)=x+9-(x-7) 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-2)=x+9-(x-7) equation: 


Simplifying
2(x + -3) + -3(x + -2) = x + 9 + -1(x + -7)

Reorder the terms:
2(-3 + x) + -3(x + -2) = x + 9 + -1(x + -7)
(-3 * 2 + x * 2) + -3(x + -2) = x + 9 + -1(x + -7)
(-6 + 2x) + -3(x + -2) = x + 9 + -1(x + -7)

Reorder the terms:
-6 + 2x + -3(-2 + x) = x + 9 + -1(x + -7)
-6 + 2x + (-2 * -3 + x * -3) = x + 9 + -1(x + -7)
-6 + 2x + (6 + -3x) = x + 9 + -1(x + -7)

Reorder the terms:
-6 + 6 + 2x + -3x = x + 9 + -1(x + -7)

Combine like terms: -6 + 6 = 0
0 + 2x + -3x = x + 9 + -1(x + -7)
2x + -3x = x + 9 + -1(x + -7)

Combine like terms: 2x + -3x = -1x
-1x = x + 9 + -1(x + -7)

Reorder the terms:
-1x = x + 9 + -1(-7 + x)
-1x = x + 9 + (-7 * -1 + x * -1)
-1x = x + 9 + (7 + -1x)

Reorder the terms:
-1x = 9 + 7 + x + -1x

Combine like terms: 9 + 7 = 16
-1x = 16 + x + -1x

Combine like terms: x + -1x = 0
-1x = 16 + 0
-1x = 16

Solving
-1x = 16

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -16

Simplifying
x = -16

See similar equations:

| 7r+22k=101 | | 11x-13=75 | | 400miles= | | 2x^3-4x^2+5x-10=0 | | -3t=36 | | 3t=36 | | 8x-(6x-7)=23 | | 6x-2=15x-110 | | 4(x-5)-5(x-4)=x+4-(x-2) | | 2(3n-5)+4=15-(9n-4) | | 7n-(4-2n)=3(n+5)-1 | | 3(x-4)+17=2(x+5) | | 6(2n+3)-4n+32=90 | | 6x+2=4x+26 | | 2x-6=6x | | -8=4n-12 | | 3y-9=10y+19 | | f-(-6)=9 | | 81-x^2=0 | | x-(-3)=2 | | 5x+26=14x-28 | | m-(-2)=9 | | m-(-4)=4 | | -2x^2+31=2x^2-17 | | g-(-2)=7 | | 3x^2=4x+18 | | 4*-4= | | z-(-8)=2 | | 6x+15=19+x | | 9x+7y=2 | | 10x-27=6x+1 | | z^3-3z^2+z-3=0 |

Equations solver categories