2x(8x-5)=(5-4x)(5-4x)

Simple and best practice solution for 2x(8x-5)=(5-4x)(5-4x) 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 2x(8x-5)=(5-4x)(5-4x) equation:


Simplifying
2x(8x + -5) = (5 + -4x)(5 + -4x)

Reorder the terms:
2x(-5 + 8x) = (5 + -4x)(5 + -4x)
(-5 * 2x + 8x * 2x) = (5 + -4x)(5 + -4x)
(-10x + 16x2) = (5 + -4x)(5 + -4x)

Multiply (5 + -4x) * (5 + -4x)
-10x + 16x2 = (5(5 + -4x) + -4x * (5 + -4x))
-10x + 16x2 = ((5 * 5 + -4x * 5) + -4x * (5 + -4x))
-10x + 16x2 = ((25 + -20x) + -4x * (5 + -4x))
-10x + 16x2 = (25 + -20x + (5 * -4x + -4x * -4x))
-10x + 16x2 = (25 + -20x + (-20x + 16x2))

Combine like terms: -20x + -20x = -40x
-10x + 16x2 = (25 + -40x + 16x2)

Add '-16x2' to each side of the equation.
-10x + 16x2 + -16x2 = 25 + -40x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-10x + 0 = 25 + -40x + 16x2 + -16x2
-10x = 25 + -40x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-10x = 25 + -40x + 0
-10x = 25 + -40x

Solving
-10x = 25 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
-10x + 40x = 25 + -40x + 40x

Combine like terms: -10x + 40x = 30x
30x = 25 + -40x + 40x

Combine like terms: -40x + 40x = 0
30x = 25 + 0
30x = 25

Divide each side by '30'.
x = 0.8333333333

Simplifying
x = 0.8333333333

See similar equations:

| 64-0.5=20 | | 8x-(7x+5)=2x-17 | | 7x=4y-8x-3y | | 5+8(18-8m)= | | 5(m-4)+15=3(3m-1) | | 6+5=611 | | u^3+8= | | -35-2.5X=-0 | | -7/6(-5.63885)-7 | | 4x+6x=79 | | -35-2.5X=100 | | y=-7/6(1.1667)-7 | | y=-1.1667(1.1667)-7 | | Y^2+8y=16 | | Y^2+8x=16 | | 1/2(4z+8)-16=-2/3(6z-9) | | 250+2.8x=2504 | | 250+2.8x=4800 | | y=7x^2+9x-8 | | 3x^2=57 | | 3x+18x=0 | | 250+2.8=4550 | | 4x-2=20x-9 | | 4x^2=20x-9 | | 250+2.8=4800 | | 109-5x=13x+21 | | x+.9=.2(x+9) | | 500+1500x=3500 | | 5/6x=42+x | | 3x^3+6x^2-15x-18= | | 500+1500x=1750 | | 32r-33r=40 |

Equations solver categories