11+3(x+1)x=5x+16

Simple and best practice solution for 11+3(x+1)x=5x+16 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 11+3(x+1)x=5x+16 equation: 


Simplifying
11 + 3(x + 1) * x = 5x + 16

Reorder the terms:
11 + 3(1 + x) * x = 5x + 16

Reorder the terms for easier multiplication:
11 + 3x(1 + x) = 5x + 16
11 + (1 * 3x + x * 3x) = 5x + 16
11 + (3x + 3x2) = 5x + 16

Reorder the terms:
11 + 3x + 3x2 = 16 + 5x

Solving
11 + 3x + 3x2 = 16 + 5x

Solving for variable 'x'.

Reorder the terms:
11 + -16 + 3x + -5x + 3x2 = 16 + 5x + -16 + -5x

Combine like terms: 11 + -16 = -5
-5 + 3x + -5x + 3x2 = 16 + 5x + -16 + -5x

Combine like terms: 3x + -5x = -2x
-5 + -2x + 3x2 = 16 + 5x + -16 + -5x

Reorder the terms:
-5 + -2x + 3x2 = 16 + -16 + 5x + -5x

Combine like terms: 16 + -16 = 0
-5 + -2x + 3x2 = 0 + 5x + -5x
-5 + -2x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x + 3x2 = 0

Factor a trinomial.
(-1 + -1x)(5 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-1, 1.666666667}

See similar equations:

| x+x+180+2x-80=700 | | 3a(4a-5)-2a(5a-4)= | | x^2+12x+10=6x+2 | | 6x-6+8x=-5+2x-1 | | 3x(4x-5)-2x(5x-4)= | | 2(2x+1)=2(x+3) | | 135-7x=29x+23 | | 3x-3(-5x-17)=3 | | 8z=12-20 | | 8x^2-30x=10 | | 0.8(x-100)=40 | | 4a^2-4=0 | | 10b^2+23b+1=-11 | | (7x+8)(6x-7)=0 | | 0.92=(1-x) | | 2a+b=12 | | 3(y-2)=5(y-7) | | 32.=4.3r+16-r | | 0.92=1-x | | 3(k-2)+2k=2(2k+1)+5 | | 4w-11w=14 | | 5-7x=39-21x | | 7(d-2)-2=2(d+2) | | 0.89=w/7.9-(-0.14) | | 21-2x=7x+17 | | 4(3u-3)-3u=3(2u+2) | | y=-4cosx | | -2+20=m-3 | | 2x-1=2x-7 | | 52-7x=11x+18 | | 6-8x=72-22x | | X+2(2)=1 |

Equations solver categories