(x+1)(2x+5)=(2x+3)(x+5)+5

Simple and best practice solution for (x+1)(2x+5)=(2x+3)(x+5)+5 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 (x+1)(2x+5)=(2x+3)(x+5)+5 equation: 


Simplifying
(x + 1)(2x + 5) = (2x + 3)(x + 5) + 5

Reorder the terms:
(1 + x)(2x + 5) = (2x + 3)(x + 5) + 5

Reorder the terms:
(1 + x)(5 + 2x) = (2x + 3)(x + 5) + 5

Multiply (1 + x) * (5 + 2x)
(1(5 + 2x) + x(5 + 2x)) = (2x + 3)(x + 5) + 5
((5 * 1 + 2x * 1) + x(5 + 2x)) = (2x + 3)(x + 5) + 5
((5 + 2x) + x(5 + 2x)) = (2x + 3)(x + 5) + 5
(5 + 2x + (5 * x + 2x * x)) = (2x + 3)(x + 5) + 5
(5 + 2x + (5x + 2x2)) = (2x + 3)(x + 5) + 5

Combine like terms: 2x + 5x = 7x
(5 + 7x + 2x2) = (2x + 3)(x + 5) + 5

Reorder the terms:
5 + 7x + 2x2 = (3 + 2x)(x + 5) + 5

Reorder the terms:
5 + 7x + 2x2 = (3 + 2x)(5 + x) + 5

Multiply (3 + 2x) * (5 + x)
5 + 7x + 2x2 = (3(5 + x) + 2x * (5 + x)) + 5
5 + 7x + 2x2 = ((5 * 3 + x * 3) + 2x * (5 + x)) + 5
5 + 7x + 2x2 = ((15 + 3x) + 2x * (5 + x)) + 5
5 + 7x + 2x2 = (15 + 3x + (5 * 2x + x * 2x)) + 5
5 + 7x + 2x2 = (15 + 3x + (10x + 2x2)) + 5

Combine like terms: 3x + 10x = 13x
5 + 7x + 2x2 = (15 + 13x + 2x2) + 5

Reorder the terms:
5 + 7x + 2x2 = 15 + 5 + 13x + 2x2

Combine like terms: 15 + 5 = 20
5 + 7x + 2x2 = 20 + 13x + 2x2

Add '-2x2' to each side of the equation.
5 + 7x + 2x2 + -2x2 = 20 + 13x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + 7x + 0 = 20 + 13x + 2x2 + -2x2
5 + 7x = 20 + 13x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + 7x = 20 + 13x + 0
5 + 7x = 20 + 13x

Solving
5 + 7x = 20 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
5 + 7x + -13x = 20 + 13x + -13x

Combine like terms: 7x + -13x = -6x
5 + -6x = 20 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -6x = 20 + 0
5 + -6x = 20

Add '-5' to each side of the equation.
5 + -5 + -6x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 20 + -5
-6x = 20 + -5

Combine like terms: 20 + -5 = 15
-6x = 15

Divide each side by '-6'.
x = -2.5

Simplifying
x = -2.5

See similar equations:

| -4a=-12a-45 | | 0=2-2xy | | x^4+4x^3-12x^2-34x-8=0 | | x^2-20x+39=0 | | 6r+2r=6+2r | | 2=-0.55555555556t+(-0.44444444444t) | | 3-2(-x-1)=x-(-x-5) | | x^2+20x+15=0 | | 20+6x=12x | | (T-4)(T+4)=9 | | x/5=26+16 | | 5/5=-26+16 | | 9x-3=5+7 | | -0.375b=-0.5 | | -12x^2+3-16x=0 | | -0.375=-0.5 | | 4(7r+5)=3r-30 | | 7-6x=-8x+7 | | -3(n-8)=22 | | 3(x-4)+(3x)=6(x+4)-3 | | y=4x(x^2+4) | | 62=188-u | | h(4h-5)(h+1)=0 | | 9y-11=20+12y | | 123=23k | | 36x^2+x^2-21=0 | | X-1.6=-2.6 | | -25=5(w+3) | | t^3-5t^2=24t | | X-1.6=2.6 | | 4x(X+10)=10 | | -0.25h=-0.83333333333 |

Equations solver categories