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

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


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

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

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

Multiply (6 + x) * (-3 + x)
(6(-3 + x) + x(-3 + x)) = (x + 5)(x + 2)
((-3 * 6 + x * 6) + x(-3 + x)) = (x + 5)(x + 2)
((-18 + 6x) + x(-3 + x)) = (x + 5)(x + 2)
(-18 + 6x + (-3 * x + x * x)) = (x + 5)(x + 2)
(-18 + 6x + (-3x + x2)) = (x + 5)(x + 2)

Combine like terms: 6x + -3x = 3x
(-18 + 3x + x2) = (x + 5)(x + 2)

Reorder the terms:
-18 + 3x + x2 = (5 + x)(x + 2)

Reorder the terms:
-18 + 3x + x2 = (5 + x)(2 + x)

Multiply (5 + x) * (2 + x)
-18 + 3x + x2 = (5(2 + x) + x(2 + x))
-18 + 3x + x2 = ((2 * 5 + x * 5) + x(2 + x))
-18 + 3x + x2 = ((10 + 5x) + x(2 + x))
-18 + 3x + x2 = (10 + 5x + (2 * x + x * x))
-18 + 3x + x2 = (10 + 5x + (2x + x2))

Combine like terms: 5x + 2x = 7x
-18 + 3x + x2 = (10 + 7x + x2)

Add '-1x2' to each side of the equation.
-18 + 3x + x2 + -1x2 = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x + 0 = 10 + 7x + x2 + -1x2
-18 + 3x = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x = 10 + 7x + 0
-18 + 3x = 10 + 7x

Solving
-18 + 3x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 3x + -7x = 10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-18 + -4x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -4x = 10 + 0
-18 + -4x = 10

Add '18' to each side of the equation.
-18 + 18 + -4x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = 10 + 18
-4x = 10 + 18

Combine like terms: 10 + 18 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

See similar equations:

| 14x^2+-3=0 | | 7X+3(X+3)=19 | | 6x^2y^2-51x^2y^2-126y^2= | | 17u-24/18=5/8 | | 3c+8=10 | | 40=10+11+c | | (x+.4)(x+3.2)=0 | | 6=12n+5 | | -71+2x=61-9x | | 17=y+8 | | -2(x+6)+28=4(3-x) | | 5y+2=(1)/(2)(10y+4) | | 117=(1/2)h(6+7) | | 12x^2+108x=0 | | 4x^3-11x^2+10x-3=0 | | -17=6x-1+2x | | 3x^2-9x-18=0 | | 2(a-4)=4a-(2a-1) | | 2=5x/7 | | 132=4(9)(3)+2(3)h | | 2.5x=(5x-3)+x | | 7x^2=9x-2 | | -15+n= | | 3n-4=17 | | 10(z+4)-4(z-4)=2(z-3)+3(z-3) | | 0.75t+-0.8333=0.66t | | 5x^2+45x+70=0 | | 5(7v+6)=35v+31 | | 3x-8=-17 | | 0.15x+0.8(x-5)=0.01(3x-5) | | 5x+(17x-18)=180 | | 3y^2+18xy+27= |

Equations solver categories