7a(x+5y)-b(x+5y)=(x+5y)(7a-b)

Simple and best practice solution for 7a(x+5y)-b(x+5y)=(x+5y)(7a-b) 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 7a(x+5y)-b(x+5y)=(x+5y)(7a-b) equation: 


Simplifying
7a(x + 5y) + -1b(x + 5y) = (x + 5y)(7a + -1b)
(x * 7a + 5y * 7a) + -1b(x + 5y) = (x + 5y)(7a + -1b)
(7ax + 35ay) + -1b(x + 5y) = (x + 5y)(7a + -1b)
7ax + 35ay + (x * -1b + 5y * -1b) = (x + 5y)(7a + -1b)
7ax + 35ay + (-1bx + -5by) = (x + 5y)(7a + -1b)

Multiply (x + 5y) * (7a + -1b)
7ax + 35ay + -1bx + -5by = (x(7a + -1b) + 5y * (7a + -1b))
7ax + 35ay + -1bx + -5by = ((7a * x + -1b * x) + 5y * (7a + -1b))
7ax + 35ay + -1bx + -5by = ((7ax + -1bx) + 5y * (7a + -1b))
7ax + 35ay + -1bx + -5by = (7ax + -1bx + (7a * 5y + -1b * 5y))
7ax + 35ay + -1bx + -5by = (7ax + -1bx + (35ay + -5by))

Reorder the terms:
7ax + 35ay + -1bx + -5by = (7ax + 35ay + -1bx + -5by)
7ax + 35ay + -1bx + -5by = (7ax + 35ay + -1bx + -5by)

Add '-7ax' to each side of the equation.
7ax + 35ay + -1bx + -7ax + -5by = 7ax + 35ay + -1bx + -7ax + -5by

Reorder the terms:
7ax + -7ax + 35ay + -1bx + -5by = 7ax + 35ay + -1bx + -7ax + -5by

Combine like terms: 7ax + -7ax = 0
0 + 35ay + -1bx + -5by = 7ax + 35ay + -1bx + -7ax + -5by
35ay + -1bx + -5by = 7ax + 35ay + -1bx + -7ax + -5by

Reorder the terms:
35ay + -1bx + -5by = 7ax + -7ax + 35ay + -1bx + -5by

Combine like terms: 7ax + -7ax = 0
35ay + -1bx + -5by = 0 + 35ay + -1bx + -5by
35ay + -1bx + -5by = 35ay + -1bx + -5by

Add '-35ay' to each side of the equation.
35ay + -1bx + -35ay + -5by = 35ay + -1bx + -35ay + -5by

Reorder the terms:
35ay + -35ay + -1bx + -5by = 35ay + -1bx + -35ay + -5by

Combine like terms: 35ay + -35ay = 0
0 + -1bx + -5by = 35ay + -1bx + -35ay + -5by
-1bx + -5by = 35ay + -1bx + -35ay + -5by

Reorder the terms:
-1bx + -5by = 35ay + -35ay + -1bx + -5by

Combine like terms: 35ay + -35ay = 0
-1bx + -5by = 0 + -1bx + -5by
-1bx + -5by = -1bx + -5by

Add 'bx' to each side of the equation.
-1bx + bx + -5by = -1bx + bx + -5by

Combine like terms: -1bx + bx = 0
0 + -5by = -1bx + bx + -5by
-5by = -1bx + bx + -5by

Combine like terms: -1bx + bx = 0
-5by = 0 + -5by
-5by = -5by

Add '5by' to each side of the equation.
-5by + 5by = -5by + 5by

Combine like terms: -5by + 5by = 0
0 = -5by + 5by

Combine like terms: -5by + 5by = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| 9y-30=2y+5 | | 11x+6=2x+28 | | 11y=176 | | 11y=76 | | -3x+5(2x-1)=-5 | | 8.05=0.5 | | 2x^2+8x-60=0 | | (x^2)+3ix+9=0 | | 4w-14w+14=-8w | | X*5+13=73 | | 10x+12=7x+33 | | 10x+40=40 | | 16-0.8*x=0 | | 400p=231.50 | | 18x-9=14x-29 | | b+(14)=25 | | s-41=-26 | | 2x*2x+8x-5=0 | | -2sin^2x=-3cosx+3 | | 4(3v-6)=96 | | x+2x+3x=680 | | 5x-6=40x+8 | | 0.1x+14=1.2x-3 | | m^2+6m-23=-7 | | 4n=35 | | -2(5n-3)=86 | | m^2+6m-23=-8 | | -39+y=37 | | 48x^2=120x | | z^3-7z^2+19z-13=0 | | x+11=-73 | | 830x+750y=780(x+y) |

Equations solver categories