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

Simple and best practice solution for 5(x-4)+3x=-2x(x+10)+10x 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 5(x-4)+3x=-2x(x+10)+10x equation: 


Simplifying
5(x + -4) + 3x = -2x(x + 10) + 10x

Reorder the terms:
5(-4 + x) + 3x = -2x(x + 10) + 10x
(-4 * 5 + x * 5) + 3x = -2x(x + 10) + 10x
(-20 + 5x) + 3x = -2x(x + 10) + 10x

Combine like terms: 5x + 3x = 8x
-20 + 8x = -2x(x + 10) + 10x

Reorder the terms:
-20 + 8x = -2x(10 + x) + 10x
-20 + 8x = (10 * -2x + x * -2x) + 10x
-20 + 8x = (-20x + -2x2) + 10x

Reorder the terms:
-20 + 8x = -20x + 10x + -2x2

Combine like terms: -20x + 10x = -10x
-20 + 8x = -10x + -2x2

Solving
-20 + 8x = -10x + -2x2

Solving for variable 'x'.

Combine like terms: 8x + 10x = 18x
-20 + 18x + 2x2 = -10x + -2x2 + 10x + 2x2

Reorder the terms:
-20 + 18x + 2x2 = -10x + 10x + -2x2 + 2x2

Combine like terms: -10x + 10x = 0
-20 + 18x + 2x2 = 0 + -2x2 + 2x2
-20 + 18x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-20 + 18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 9x + x2) = 0

Factor a trinomial.
2((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-10, 1}

See similar equations:

| 8*x+x*2=80 | | 7(4-x)=14 | | 3x-15+15=9+15 | | 8X+x=42 | | 11*x+2*x=65 | | x-7y+z=-1 | | y=0+3z | | 144x^2-49=0 | | 0.05x^4-40x=0 | | 108/12= | | x-(-29)=33 | | x-43=-75 | | x-35=-68 | | 0.05x^4=40x | | x-(-47)=7 | | B^2+bc-2c^2=0 | | 3(x-5)=108/8 | | x-25=-4 | | x-(-23)=63 | | tan(x)=.375 | | x-(-49)=38 | | -(-49)=38 | | x-28=-56 | | 5x+8=-3x | | x-23=-65 | | x-35=-61 | | D=7x | | x-(-47)=37 | | 10=2(x+8) | | x-36=-37 | | A=3+x | | x-(-6)=-38 |

Equations solver categories