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

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


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

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

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

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

Combine like terms: 4x + 4x = 8x
(4 + 8x + 4x2) = (x + 3)(4x + -2)

Reorder the terms:
4 + 8x + 4x2 = (3 + x)(4x + -2)

Reorder the terms:
4 + 8x + 4x2 = (3 + x)(-2 + 4x)

Multiply (3 + x) * (-2 + 4x)
4 + 8x + 4x2 = (3(-2 + 4x) + x(-2 + 4x))
4 + 8x + 4x2 = ((-2 * 3 + 4x * 3) + x(-2 + 4x))
4 + 8x + 4x2 = ((-6 + 12x) + x(-2 + 4x))
4 + 8x + 4x2 = (-6 + 12x + (-2 * x + 4x * x))
4 + 8x + 4x2 = (-6 + 12x + (-2x + 4x2))

Combine like terms: 12x + -2x = 10x
4 + 8x + 4x2 = (-6 + 10x + 4x2)

Add '-4x2' to each side of the equation.
4 + 8x + 4x2 + -4x2 = -6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 8x + 0 = -6 + 10x + 4x2 + -4x2
4 + 8x = -6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 8x = -6 + 10x + 0
4 + 8x = -6 + 10x

Solving
4 + 8x = -6 + 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.
4 + 8x + -10x = -6 + 10x + -10x

Combine like terms: 8x + -10x = -2x
4 + -2x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -2x = -6 + 0
4 + -2x = -6

Add '-4' to each side of the equation.
4 + -4 + -2x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -6 + -4
-2x = -6 + -4

Combine like terms: -6 + -4 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

See similar equations:

| -3x-63=x+25 | | x./.3-1=4 | | 0=x^3+6x^2+12x-8 | | 2(4-2+b)=-3(8b+20)-7 | | (x-7)3=729 | | 640=2(w+3w-12) | | -0.9808=-0.00936*t*1 | | 11=9t/5 | | -5.03+(-10.2)-(-6)= | | (x^5)+x=0 | | 3=h | | 5n+10=3 | | 380=2(w+w+20) | | 6=2+6 | | 4=4(x-10) | | x^5=0.75 | | 2(1-12x)+2x=2(1+4x) | | 6(k+5)=10k+2(4-3k) | | 0.5x-3=9.5a | | 5/6y=35x | | -x+33=3(1-4x)+5x | | x(30-x)=100 | | 1/4y+3/4=7/4 | | x^3+7x^2+6x=5 | | 4200m^2= | | H/6=3 | | 96+26+2x=180 | | 25+3x=5(5-4x) | | 10-p=20 | | 6(4x+6)=-9x-3(-12+2x) | | y=7/2x–1 | | 9x^2-9-720=0 |

Equations solver categories