(x-10)(x-3)=(x+3)(x+7)

Simple and best practice solution for (x-10)(x-3)=(x+3)(x+7) 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-10)(x-3)=(x+3)(x+7) equation: 


Simplifying
(x + -10)(x + -3) = (x + 3)(x + 7)

Reorder the terms:
(-10 + x)(x + -3) = (x + 3)(x + 7)

Reorder the terms:
(-10 + x)(-3 + x) = (x + 3)(x + 7)

Multiply (-10 + x) * (-3 + x)
(-10(-3 + x) + x(-3 + x)) = (x + 3)(x + 7)
((-3 * -10 + x * -10) + x(-3 + x)) = (x + 3)(x + 7)
((30 + -10x) + x(-3 + x)) = (x + 3)(x + 7)
(30 + -10x + (-3 * x + x * x)) = (x + 3)(x + 7)
(30 + -10x + (-3x + x2)) = (x + 3)(x + 7)

Combine like terms: -10x + -3x = -13x
(30 + -13x + x2) = (x + 3)(x + 7)

Reorder the terms:
30 + -13x + x2 = (3 + x)(x + 7)

Reorder the terms:
30 + -13x + x2 = (3 + x)(7 + x)

Multiply (3 + x) * (7 + x)
30 + -13x + x2 = (3(7 + x) + x(7 + x))
30 + -13x + x2 = ((7 * 3 + x * 3) + x(7 + x))
30 + -13x + x2 = ((21 + 3x) + x(7 + x))
30 + -13x + x2 = (21 + 3x + (7 * x + x * x))
30 + -13x + x2 = (21 + 3x + (7x + x2))

Combine like terms: 3x + 7x = 10x
30 + -13x + x2 = (21 + 10x + x2)

Add '-1x2' to each side of the equation.
30 + -13x + x2 + -1x2 = 21 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -13x + 0 = 21 + 10x + x2 + -1x2
30 + -13x = 21 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -13x = 21 + 10x + 0
30 + -13x = 21 + 10x

Solving
30 + -13x = 21 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
30 + -13x + -10x = 21 + 10x + -10x

Combine like terms: -13x + -10x = -23x
30 + -23x = 21 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -23x = 21 + 0
30 + -23x = 21

Add '-30' to each side of the equation.
30 + -30 + -23x = 21 + -30

Combine like terms: 30 + -30 = 0
0 + -23x = 21 + -30
-23x = 21 + -30

Combine like terms: 21 + -30 = -9
-23x = -9

Divide each side by '-23'.
x = 0.3913043478

Simplifying
x = 0.3913043478

See similar equations:

| 64x^3+49x=0 | | -5.9(3p+5)-2.6(2p-4)= | | 8x+4x-21=63-9x | | (3x-15)(15x-3)=0 | | x^2+x+9=44 | | (5x-5)^1/3=-5 | | 5x+4x-28=42-5x | | X+3.2forx=5 | | (5x-5)1/3=-5 | | 24(2/3) | | 100[0.09(q+9)]= | | 20w+14w= | | 3x^2-24x-64=0 | | f(x+7)=7x-4 | | 1+5c=3.5 | | -0.4(6x+5)=3.6x | | 2n+3n=40 | | 3c-c=c+8 | | 80=22.5(8*a) | | 7x-4=(8)f | | 8x2/7 | | -5-(2-5p)= | | 3(2y-5)=4y+3 | | 4x-x-5=40-x-4 | | 7x-4=x | | ln(2-x)=ln(5x) | | 3x^-1/4y^-2 | | 8n-5n-6=33 | | dy/dx=e^7x^3 | | 2x-8+3x+8=90 | | 4n^2+3n-6=7 | | -6.2(3p+6)-2.1(2p-4)= |

Equations solver categories