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

Simple and best practice solution for (6-x)(x+2)+(x+3)(x-4)=2x+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 (6-x)(x+2)+(x+3)(x-4)=2x+5 equation:


Simplifying
(6 + -1x)(x + 2) + (x + 3)(x + -4) = 2x + 5

Reorder the terms:
(6 + -1x)(2 + x) + (x + 3)(x + -4) = 2x + 5

Multiply (6 + -1x) * (2 + x)
(6(2 + x) + -1x * (2 + x)) + (x + 3)(x + -4) = 2x + 5
((2 * 6 + x * 6) + -1x * (2 + x)) + (x + 3)(x + -4) = 2x + 5
((12 + 6x) + -1x * (2 + x)) + (x + 3)(x + -4) = 2x + 5
(12 + 6x + (2 * -1x + x * -1x)) + (x + 3)(x + -4) = 2x + 5
(12 + 6x + (-2x + -1x2)) + (x + 3)(x + -4) = 2x + 5

Combine like terms: 6x + -2x = 4x
(12 + 4x + -1x2) + (x + 3)(x + -4) = 2x + 5

Reorder the terms:
12 + 4x + -1x2 + (3 + x)(x + -4) = 2x + 5

Reorder the terms:
12 + 4x + -1x2 + (3 + x)(-4 + x) = 2x + 5

Multiply (3 + x) * (-4 + x)
12 + 4x + -1x2 + (3(-4 + x) + x(-4 + x)) = 2x + 5
12 + 4x + -1x2 + ((-4 * 3 + x * 3) + x(-4 + x)) = 2x + 5
12 + 4x + -1x2 + ((-12 + 3x) + x(-4 + x)) = 2x + 5
12 + 4x + -1x2 + (-12 + 3x + (-4 * x + x * x)) = 2x + 5
12 + 4x + -1x2 + (-12 + 3x + (-4x + x2)) = 2x + 5

Combine like terms: 3x + -4x = -1x
12 + 4x + -1x2 + (-12 + -1x + x2) = 2x + 5

Reorder the terms:
12 + -12 + 4x + -1x + -1x2 + x2 = 2x + 5

Combine like terms: 12 + -12 = 0
0 + 4x + -1x + -1x2 + x2 = 2x + 5
4x + -1x + -1x2 + x2 = 2x + 5

Combine like terms: 4x + -1x = 3x
3x + -1x2 + x2 = 2x + 5

Combine like terms: -1x2 + x2 = 0
3x + 0 = 2x + 5
3x = 2x + 5

Reorder the terms:
3x = 5 + 2x

Solving
3x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1x = 5 + 0
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

See similar equations:

| 2x+-9=5x+12 | | (x-3)(5-x)-2=(2-x)(x-4)+3 | | 10-5y=15 | | 6x+3y=8 | | 7-y=28 | | 64-4x=5x+17 | | 5a+2b=7 | | x+(x+8)+x/2=102 | | 2x-5=6x+11 | | x+2/4+2+3x/5=x | | (5x+3)/4=7 | | x^17=3 | | 6x-5=31 | | x+5c=3c+a | | x^4+324=0 | | n+1/3=1/2 | | y-21/3=/3 | | 2(1)-3y=6 | | 2(5)-3y=6 | | 2(4)-3y=6 | | 2(2)-3y=6 | | 2(3)-3y=6 | | -5=t+11/4 | | 10x^2-12x-15=0 | | 18xy(x+y)=0 | | 0=-4x | | x^2+7+x(34x+1)=0 | | -4=-4x | | 2(3)+y=4 | | 2+y=4 | | 6+y=4 | | y^2-7y=30 |

Equations solver categories