(x-4)(x-3)=(1+x)(x-2)

Simple and best practice solution for (x-4)(x-3)=(1+x)(x-2) 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-4)(x-3)=(1+x)(x-2) equation: 


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

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

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

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

Combine like terms: -4x + -3x = -7x
(12 + -7x + x2) = (1 + x)(x + -2)

Reorder the terms:
12 + -7x + x2 = (1 + x)(-2 + x)

Multiply (1 + x) * (-2 + x)
12 + -7x + x2 = (1(-2 + x) + x(-2 + x))
12 + -7x + x2 = ((-2 * 1 + x * 1) + x(-2 + x))
12 + -7x + x2 = ((-2 + 1x) + x(-2 + x))
12 + -7x + x2 = (-2 + 1x + (-2 * x + x * x))
12 + -7x + x2 = (-2 + 1x + (-2x + x2))

Combine like terms: 1x + -2x = -1x
12 + -7x + x2 = (-2 + -1x + x2)

Add '-1x2' to each side of the equation.
12 + -7x + x2 + -1x2 = -2 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -7x + 0 = -2 + -1x + x2 + -1x2
12 + -7x = -2 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -7x = -2 + -1x + 0
12 + -7x = -2 + -1x

Solving
12 + -7x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + -7x + x = -2 + -1x + x

Combine like terms: -7x + x = -6x
12 + -6x = -2 + -1x + x

Combine like terms: -1x + x = 0
12 + -6x = -2 + 0
12 + -6x = -2

Add '-12' to each side of the equation.
12 + -12 + -6x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -2 + -12
-6x = -2 + -12

Combine like terms: -2 + -12 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

See similar equations:

| 2(y-4)-(y+5)=2y-2 | | 26=y-9 | | 1/4=2^5x | | 3-4(x-5)(3-x)=24-(2x-1)(7-2x) | | 4(x+9)-3(x-16)=24 | | 35=y-9 | | 35=y-5 | | A^2+b^2=324 | | 3-4(x-5)(3-x)=24-2(2x-1)(7-2x) | | 3=-7+2y | | x+.04(6-x)=0.6(6) | | 2-4+7= | | 5(7x+2)-5=40 | | 7.9=r+7 | | 4(6z-1)-2(z+4)=3(z+1) | | 6+4y=-6 | | 105x+1295+35x+1435=560 | | (36/6x) | | 36/6x | | 18x-6+2x= | | 6.7x-3.9=22.9 | | 3(4z-1)-4(z+7)=3(z+1) | | 3(2+4y)=21 | | 5.9=n-10.3 | | 12=m+8 | | 2(v-8)-2=-5(-4v+6)-9v | | 9+5(x-4)=10-5(x-6) | | 6+5(x-9)=9-4(x-2) | | 4=5x-5 | | (2v+7)(2+v)=0 | | 21=3x+5 | | 9(t-5)+6t=5(3t+2)-9 |

Equations solver categories