3x-2x(x+6)=4x-(x-10)

Simple and best practice solution for 3x-2x(x+6)=4x-(x-10) 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-2x(x+6)=4x-(x-10) equation: 


Simplifying
3x + -2x(x + 6) = 4x + -1(x + -10)

Reorder the terms:
3x + -2x(6 + x) = 4x + -1(x + -10)
3x + (6 * -2x + x * -2x) = 4x + -1(x + -10)
3x + (-12x + -2x2) = 4x + -1(x + -10)

Combine like terms: 3x + -12x = -9x
-9x + -2x2 = 4x + -1(x + -10)

Reorder the terms:
-9x + -2x2 = 4x + -1(-10 + x)
-9x + -2x2 = 4x + (-10 * -1 + x * -1)
-9x + -2x2 = 4x + (10 + -1x)

Reorder the terms:
-9x + -2x2 = 10 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-9x + -2x2 = 10 + 3x

Solving
-9x + -2x2 = 10 + 3x

Solving for variable 'x'.

Reorder the terms:
-10 + -9x + -3x + -2x2 = 10 + 3x + -10 + -3x

Combine like terms: -9x + -3x = -12x
-10 + -12x + -2x2 = 10 + 3x + -10 + -3x

Reorder the terms:
-10 + -12x + -2x2 = 10 + -10 + 3x + -3x

Combine like terms: 10 + -10 = 0
-10 + -12x + -2x2 = 0 + 3x + -3x
-10 + -12x + -2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(5 + 6x + x2) = 0

Factor a trinomial.
-2((5 + x)(1 + x)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-5, -1}

See similar equations:

| 4x+(7x+11)=-11 | | 15x=9y-6 | | 19x-5=5+14x | | 4(x+3)+2(x-3)=-42 | | 5x+7=6x-14 | | 5-4(2x+8)=7 | | ln(x)-ln(x+2)=ln(8) | | 10=5x-7 | | 79-7x=2x+16 | | 16x+12=3x^3 | | 7x-2=42 | | 6x+11=101-8 | | 2x+x+(2x+30)=180 | | t=7t-24 | | y-6=2(x-(-7)) | | Xx-10x=24 | | Ln(x+2)-ln(x)=3 | | 13=20x+15y | | 4x-3=46 | | (7t-2)-(-3t+1)=-3(1+-3t) | | 12p+7=9p+24 | | 4(n-3)=3(n-1) | | 2a=10+x | | 238=51-y | | (12x)+(28-2x)=60 | | 0.625c=-20 | | 2+a+b=a+2+b | | -w+262=214 | | x+1.6=.08 | | -14=4+9x | | =c^3-36c^2-4c+144 | | m-21.1= |

Equations solver categories