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

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


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

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

Reorder the terms:
6 + 4x + -4(-3 + 5x) = x(x + -3) + -1x(x + 5)
6 + 4x + (-3 * -4 + 5x * -4) = x(x + -3) + -1x(x + 5)
6 + 4x + (12 + -20x) = x(x + -3) + -1x(x + 5)

Reorder the terms:
6 + 12 + 4x + -20x = x(x + -3) + -1x(x + 5)

Combine like terms: 6 + 12 = 18
18 + 4x + -20x = x(x + -3) + -1x(x + 5)

Combine like terms: 4x + -20x = -16x
18 + -16x = x(x + -3) + -1x(x + 5)

Reorder the terms:
18 + -16x = x(-3 + x) + -1x(x + 5)
18 + -16x = (-3 * x + x * x) + -1x(x + 5)
18 + -16x = (-3x + x2) + -1x(x + 5)

Reorder the terms:
18 + -16x = -3x + x2 + -1x(5 + x)
18 + -16x = -3x + x2 + (5 * -1x + x * -1x)
18 + -16x = -3x + x2 + (-5x + -1x2)

Reorder the terms:
18 + -16x = -3x + -5x + x2 + -1x2

Combine like terms: -3x + -5x = -8x
18 + -16x = -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + -16x = -8x + 0
18 + -16x = -8x

Solving
18 + -16x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
18 + -16x + 8x = -8x + 8x

Combine like terms: -16x + 8x = -8x
18 + -8x = -8x + 8x

Combine like terms: -8x + 8x = 0
18 + -8x = 0

Add '-18' to each side of the equation.
18 + -18 + -8x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = 0 + -18
-8x = 0 + -18

Combine like terms: 0 + -18 = -18
-8x = -18

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

See similar equations:

| 12-13(12x-2)= | | 7x(6-1)=1 | | 20x^2-28x= | | z=4x-9y | | 4x(1+1)=12 | | 6y-23-9y+38= | | 3x+1=12x-5 | | 5p-5/p*2p^2/7p-7 | | 8(1-x)=x | | 4-4y+4=2y+14-4y | | -2(x-5)+6x= | | (2x/3)=8-2x | | 11(9+x)=x | | (3x^4+3x^3-1)-(2x^2-9x+3)= | | -2r+4(r-9)= | | 11(x-9)=x | | 4x-16=-2x+32 | | 7(x+8)=x | | 9x+5-8x=7x-9+x | | 4(x+x)=11 | | -9/10x=45 | | x=(-5)-(3) | | x=(-5)-3 | | 3x+36+y=180 | | 6(5-x)=6 | | 4k-14(14k+12)= | | (3x^4+3x^3-1)-(2x^2+9-3)= | | -9/23-(-2/23) | | 3+2x=1-x | | 8(12+x)=7 | | 8x+48=3(0) | | Y=4-(-3) |

Equations solver categories