78-(5x+5)=5(x+8)+x

Simple and best practice solution for 78-(5x+5)=5(x+8)+x 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 78-(5x+5)=5(x+8)+x equation:


Simplifying
78 + -1(5x + 5) = 5(x + 8) + x

Reorder the terms:
78 + -1(5 + 5x) = 5(x + 8) + x
78 + (5 * -1 + 5x * -1) = 5(x + 8) + x
78 + (-5 + -5x) = 5(x + 8) + x

Combine like terms: 78 + -5 = 73
73 + -5x = 5(x + 8) + x

Reorder the terms:
73 + -5x = 5(8 + x) + x
73 + -5x = (8 * 5 + x * 5) + x
73 + -5x = (40 + 5x) + x

Combine like terms: 5x + x = 6x
73 + -5x = 40 + 6x

Solving
73 + -5x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
73 + -5x + -6x = 40 + 6x + -6x

Combine like terms: -5x + -6x = -11x
73 + -11x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
73 + -11x = 40 + 0
73 + -11x = 40

Add '-73' to each side of the equation.
73 + -73 + -11x = 40 + -73

Combine like terms: 73 + -73 = 0
0 + -11x = 40 + -73
-11x = 40 + -73

Combine like terms: 40 + -73 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

See similar equations:

| 3x+18=12x-72 | | 9x+3=27 | | 12x-12=8x+4 | | 8-44=4a | | 5x+6=-85-8x | | -3.5x+1.3=-0.3(9x-5) | | (x^4)-(15x^2)-16=0 | | 7(4x-2)=98 | | 3x-2=11x-56 | | x+13=3(x-8) | | 2x+34=11x-56 | | 660x-9900x^2=0 | | y=-x^2-7x-6 | | 3x-40=10-7x | | 6x-5x=90 | | 5(1-3m)=30-2(4m+7) | | 9x+9=4x+34 | | 12x-15=23 | | 9x-17=37 | | 6.4-2.3x=65.6 | | 710x-10650x^2=0 | | X^2+2x+15=0 | | 9x+10=55 | | 33+x+x-38=180 | | 14x-9=4x+41 | | 2x+34=11x-74 | | 177-2x=43x+22 | | 10-7x=78-35x | | 2(3x+7)=5x+10 | | 6(3x-1)=8-(-10x-14) | | 83-6x=12x+15 | | 640x-7680x^2=0 |

Equations solver categories