(2x+7)(5x+4)=(10x-3)(x+4)-11+14

Simple and best practice solution for (2x+7)(5x+4)=(10x-3)(x+4)-11+14 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+7)(5x+4)=(10x-3)(x+4)-11+14 equation: 


Simplifying
(2x + 7)(5x + 4) = (10x + -3)(x + 4) + -11 + 14

Reorder the terms:
(7 + 2x)(5x + 4) = (10x + -3)(x + 4) + -11 + 14

Reorder the terms:
(7 + 2x)(4 + 5x) = (10x + -3)(x + 4) + -11 + 14

Multiply (7 + 2x) * (4 + 5x)
(7(4 + 5x) + 2x * (4 + 5x)) = (10x + -3)(x + 4) + -11 + 14
((4 * 7 + 5x * 7) + 2x * (4 + 5x)) = (10x + -3)(x + 4) + -11 + 14
((28 + 35x) + 2x * (4 + 5x)) = (10x + -3)(x + 4) + -11 + 14
(28 + 35x + (4 * 2x + 5x * 2x)) = (10x + -3)(x + 4) + -11 + 14
(28 + 35x + (8x + 10x2)) = (10x + -3)(x + 4) + -11 + 14

Combine like terms: 35x + 8x = 43x
(28 + 43x + 10x2) = (10x + -3)(x + 4) + -11 + 14

Reorder the terms:
28 + 43x + 10x2 = (-3 + 10x)(x + 4) + -11 + 14

Reorder the terms:
28 + 43x + 10x2 = (-3 + 10x)(4 + x) + -11 + 14

Multiply (-3 + 10x) * (4 + x)
28 + 43x + 10x2 = (-3(4 + x) + 10x * (4 + x)) + -11 + 14
28 + 43x + 10x2 = ((4 * -3 + x * -3) + 10x * (4 + x)) + -11 + 14
28 + 43x + 10x2 = ((-12 + -3x) + 10x * (4 + x)) + -11 + 14
28 + 43x + 10x2 = (-12 + -3x + (4 * 10x + x * 10x)) + -11 + 14
28 + 43x + 10x2 = (-12 + -3x + (40x + 10x2)) + -11 + 14

Combine like terms: -3x + 40x = 37x
28 + 43x + 10x2 = (-12 + 37x + 10x2) + -11 + 14

Reorder the terms:
28 + 43x + 10x2 = -12 + -11 + 14 + 37x + 10x2

Combine like terms: -12 + -11 = -23
28 + 43x + 10x2 = -23 + 14 + 37x + 10x2

Combine like terms: -23 + 14 = -9
28 + 43x + 10x2 = -9 + 37x + 10x2

Add '-10x2' to each side of the equation.
28 + 43x + 10x2 + -10x2 = -9 + 37x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
28 + 43x + 0 = -9 + 37x + 10x2 + -10x2
28 + 43x = -9 + 37x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
28 + 43x = -9 + 37x + 0
28 + 43x = -9 + 37x

Solving
28 + 43x = -9 + 37x

Solving for variable 'x'.

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

Add '-37x' to each side of the equation.
28 + 43x + -37x = -9 + 37x + -37x

Combine like terms: 43x + -37x = 6x
28 + 6x = -9 + 37x + -37x

Combine like terms: 37x + -37x = 0
28 + 6x = -9 + 0
28 + 6x = -9

Add '-28' to each side of the equation.
28 + -28 + 6x = -9 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = -9 + -28
6x = -9 + -28

Combine like terms: -9 + -28 = -37
6x = -37

Divide each side by '6'.
x = -6.166666667

Simplifying
x = -6.166666667

See similar equations:

| 3a-7+3a=7 | | 9x+15=180 | | 8w-2+2(4w+2)=-2(w+2) | | 5(-5x+8)-3(x-5)=1-7x+6x | | x^3+30x-100=0 | | 54=30-4(x-1) | | 5(2x+6)=4(x-3) | | 5(2x+6)=4(x+3) | | x^2-4x-7=2 | | 5(2x+6)=1(x+3) | | 5x-45=3 | | 10x+20y=200 | | 8=6x^3-23x^2-30x | | 5x+9x-3x=50+5 | | P-(.10xP)=40 | | 2x^2-12xy-32y^2=2(x-8y)(x+By) | | 6x^3-23x^2-30x-8=0 | | 1.45=x/34000 | | (6+4i)(5-2i)= | | x(22-2x)(41-2x)=0 | | 59(d-3)=17.5 | | -2x+7+4x=-4 | | (9-y)(2y-5)=0 | | 9x-5+1x=-5+35 | | -8=-7/(v-1) | | x+(4x)=124300 | | t^4+81t^2+80=0 | | 10+4-5-6= | | 6x-x-14=x-3x-10 | | 216=7-v | | 6x-14+2x=5x+12 | | (x-7)(2x-3)=0 |

Equations solver categories