5*(x-5)+10=3*(x+6)

Simple and best practice solution for 5*(x-5)+10=3*(x+6) 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 5*(x-5)+10=3*(x+6) equation:


Simplifying
5(x + -5) + 10 = 3(x + 6)

Reorder the terms:
5(-5 + x) + 10 = 3(x + 6)
(-5 * 5 + x * 5) + 10 = 3(x + 6)
(-25 + 5x) + 10 = 3(x + 6)

Reorder the terms:
-25 + 10 + 5x = 3(x + 6)

Combine like terms: -25 + 10 = -15
-15 + 5x = 3(x + 6)

Reorder the terms:
-15 + 5x = 3(6 + x)
-15 + 5x = (6 * 3 + x * 3)
-15 + 5x = (18 + 3x)

Solving
-15 + 5x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-15 + 5x + -3x = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-15 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 2x = 18 + 0
-15 + 2x = 18

Add '15' to each side of the equation.
-15 + 15 + 2x = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 18 + 15
2x = 18 + 15

Combine like terms: 18 + 15 = 33
2x = 33

Divide each side by '2'.
x = 16.5

Simplifying
x = 16.5

See similar equations:

| 64-2x=7x+20 | | 7-9=130-30x | | 6a+3=2a+6 | | 9x*-7=0 | | 4a+2=2a+10 | | 16x^2-40x-65=0 | | 16-10x=46-24x | | -2(6x-7)=-3-10(x-9) | | 0.5x+0.5y=40 | | 18z-7=6z+4 | | 0.5x+0.75x=275 | | 5(p+5)= | | 4x^3+43x^2+30=0 | | 0.5x+0.75y=275 | | 4*(x-3)+10=3*(x+6) | | 4*(x+3)+10=3*(x-6) | | 4*(x-3)+10=3*(x-6) | | 4*(x-2)+10=9*(x-6) | | 4*(x-2)+10=8*(x-6) | | 4*(x-2)+10=8*(x-5) | | 4*(x-2)+10=8*(x-2) | | 4*(x-2)+10=8*(x-4) | | 6*(x-2)+20=3*(x-3) | | 5*(x-2)-20=5*(x-4) | | 5x+20y=15 | | 8*(x+2)+20=5*(x+12) | | 8x(x+2)+20=5x(x+12) | | 54=73 | | 12-10x=38+17x | | 2a+10a-5=0 | | -8x^2+130x-136=0 | | x-(-9.9)=5.1 |

Equations solver categories