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

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


Simplifying
3X(x + 3) = 2X(x + -7)

Reorder the terms:
3X(3 + x) = 2X(x + -7)
(3 * 3X + x * 3X) = 2X(x + -7)
(9X + 3xX) = 2X(x + -7)

Reorder the terms:
9X + 3xX = 2X(-7 + x)
9X + 3xX = (-7 * 2X + x * 2X)
9X + 3xX = (-14X + 2xX)

Solving
9X + 3xX = -14X + 2xX

Solving for variable 'X'.

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

Add '14X' to each side of the equation.
9X + 14X + 3xX = -14X + 14X + 2xX

Combine like terms: 9X + 14X = 23X
23X + 3xX = -14X + 14X + 2xX

Combine like terms: -14X + 14X = 0
23X + 3xX = 0 + 2xX
23X + 3xX = 2xX

Add '-2xX' to each side of the equation.
23X + 3xX + -2xX = 2xX + -2xX

Combine like terms: 3xX + -2xX = 1xX
23X + 1xX = 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
23X + 1xX = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(23 + x) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(23 + x)' equal to zero and attempt to solve:

Simplifying
23 + x = 0

Solving
23 + x = 0

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

Add '-23' to each side of the equation.
23 + -23 + x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + x = 0 + -23
x = 0 + -23

Combine like terms: 0 + -23 = -23
x = -23

Add '-1x' to each side of the equation.
x + -1x = -23 + -1x

Combine like terms: x + -1x = 0
0 = -23 + -1x

Simplifying
0 = -23 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

See similar equations:

| x-2=5x | | y=0.5x-1.7 | | 3x^2+18x=48 | | 11d=81-61d | | 7x+15=5x+3 | | X-2/6=x+5/3 | | 1/3x-5=12 | | 4.3x-6.8y+4.8=0 | | 8y=3x-4 | | 4a+3=7a+5 | | y=0.6x+3.7 | | 6y-4=3x+2 | | -7u+5(u-2)=8 | | 2X+11=5X+17 | | 3a-2b+a+3b-5= | | 4a-2b+a+3b-5= | | 7x-8=4x+1 | | 12/1.7+3= | | -14.06+(-26.13)= | | 8*cos(0.5x)-4x*sin(0.5x)=0 | | 2(9/2.5-5)= | | y=x*x-12x+32 | | (1-25/x^2)/(1-10/x+25/x^2) | | 4.2=b-2.5 | | 2a-9=a-16 | | -2(5-3x)=8(7-x)+12 | | Whatisn-8+-8n=72 | | 183=80.405+3.650r | | 183=80.405+3.65or | | 2y-3/8=13 | | -7-4(x-12)=9 | | 183=73.570+2.970h |

Equations solver categories