(5x-1)(x+3)=(x-5)(5x+1)+40

Simple and best practice solution for (5x-1)(x+3)=(x-5)(5x+1)+40 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 (5x-1)(x+3)=(x-5)(5x+1)+40 equation:


Simplifying
(5x + -1)(x + 3) = (x + -5)(5x + 1) + 40

Reorder the terms:
(-1 + 5x)(x + 3) = (x + -5)(5x + 1) + 40

Reorder the terms:
(-1 + 5x)(3 + x) = (x + -5)(5x + 1) + 40

Multiply (-1 + 5x) * (3 + x)
(-1(3 + x) + 5x * (3 + x)) = (x + -5)(5x + 1) + 40
((3 * -1 + x * -1) + 5x * (3 + x)) = (x + -5)(5x + 1) + 40
((-3 + -1x) + 5x * (3 + x)) = (x + -5)(5x + 1) + 40
(-3 + -1x + (3 * 5x + x * 5x)) = (x + -5)(5x + 1) + 40
(-3 + -1x + (15x + 5x2)) = (x + -5)(5x + 1) + 40

Combine like terms: -1x + 15x = 14x
(-3 + 14x + 5x2) = (x + -5)(5x + 1) + 40

Reorder the terms:
-3 + 14x + 5x2 = (-5 + x)(5x + 1) + 40

Reorder the terms:
-3 + 14x + 5x2 = (-5 + x)(1 + 5x) + 40

Multiply (-5 + x) * (1 + 5x)
-3 + 14x + 5x2 = (-5(1 + 5x) + x(1 + 5x)) + 40
-3 + 14x + 5x2 = ((1 * -5 + 5x * -5) + x(1 + 5x)) + 40
-3 + 14x + 5x2 = ((-5 + -25x) + x(1 + 5x)) + 40
-3 + 14x + 5x2 = (-5 + -25x + (1 * x + 5x * x)) + 40
-3 + 14x + 5x2 = (-5 + -25x + (1x + 5x2)) + 40

Combine like terms: -25x + 1x = -24x
-3 + 14x + 5x2 = (-5 + -24x + 5x2) + 40

Reorder the terms:
-3 + 14x + 5x2 = -5 + 40 + -24x + 5x2

Combine like terms: -5 + 40 = 35
-3 + 14x + 5x2 = 35 + -24x + 5x2

Add '-5x2' to each side of the equation.
-3 + 14x + 5x2 + -5x2 = 35 + -24x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3 + 14x + 0 = 35 + -24x + 5x2 + -5x2
-3 + 14x = 35 + -24x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3 + 14x = 35 + -24x + 0
-3 + 14x = 35 + -24x

Solving
-3 + 14x = 35 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-3 + 14x + 24x = 35 + -24x + 24x

Combine like terms: 14x + 24x = 38x
-3 + 38x = 35 + -24x + 24x

Combine like terms: -24x + 24x = 0
-3 + 38x = 35 + 0
-3 + 38x = 35

Add '3' to each side of the equation.
-3 + 3 + 38x = 35 + 3

Combine like terms: -3 + 3 = 0
0 + 38x = 35 + 3
38x = 35 + 3

Combine like terms: 35 + 3 = 38
38x = 38

Divide each side by '38'.
x = 1

Simplifying
x = 1

See similar equations:

| =0.9 | | x=55 | | 3x+15+2x-10=25 | | ln(0)=1 | | 4x-2a-2c=ba+(b^2)x+bd+2c | | 2x+x+10+x-30=180 | | 2(7+4x)=14 | | 6(2+-3x)=60 | | a-2x+by+c=0 | | 2x-5=9x-4 | | 5x=(0.75) | | 7x-(2x+5)=2 | | 6x+27=13x-43 | | .125=1.125 | | 2x+4x-10=26 | | -6x-1=3x-5 | | 2x+26y+17z=2129 | | X+(0.5x)=1.5x | | 2x+78x=135 | | 8x+12=4x+24 | | 30x=150 | | 50g=100 | | 3d^2+25d=0 | | 17x-15x+12=60 | | 6x+-5=5x+13 | | 2x+25=75 | | 0.91-0.2z=1.23-0.6z | | 0.91-0.2z=1.23-0.6 | | 4d-20=380 | | x^3-9x^2+12x-11=0 | | 9x^2-8= | | c=15+2.50n |

Equations solver categories