5(x-1)-(6x+5)=5(3x+6)

Simple and best practice solution for 5(x-1)-(6x+5)=5(3x+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-1)-(6x+5)=5(3x+6) equation:


Simplifying
5(x + -1) + -1(6x + 5) = 5(3x + 6)

Reorder the terms:
5(-1 + x) + -1(6x + 5) = 5(3x + 6)
(-1 * 5 + x * 5) + -1(6x + 5) = 5(3x + 6)
(-5 + 5x) + -1(6x + 5) = 5(3x + 6)

Reorder the terms:
-5 + 5x + -1(5 + 6x) = 5(3x + 6)
-5 + 5x + (5 * -1 + 6x * -1) = 5(3x + 6)
-5 + 5x + (-5 + -6x) = 5(3x + 6)

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

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

Combine like terms: 5x + -6x = -1x
-10 + -1x = 5(3x + 6)

Reorder the terms:
-10 + -1x = 5(6 + 3x)
-10 + -1x = (6 * 5 + 3x * 5)
-10 + -1x = (30 + 15x)

Solving
-10 + -1x = 30 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-10 + -1x + -15x = 30 + 15x + -15x

Combine like terms: -1x + -15x = -16x
-10 + -16x = 30 + 15x + -15x

Combine like terms: 15x + -15x = 0
-10 + -16x = 30 + 0
-10 + -16x = 30

Add '10' to each side of the equation.
-10 + 10 + -16x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + -16x = 30 + 10
-16x = 30 + 10

Combine like terms: 30 + 10 = 40
-16x = 40

Divide each side by '-16'.
x = -2.5

Simplifying
x = -2.5

See similar equations:

| 4s=9 | | 2x+7x+3x+1= | | 3(x-1)+7=40 | | 5x(x-1)-(6x+5)=5(3x+6) | | (z+3)(7z-9)=0 | | 36=6u+30 | | g(t)=-160(2x^2)+60(2) | | -2a-1=1 | | -4(3)+8y=24 | | k^2-12k=0 | | 36=10+2x | | =-2x^2+4x+9 | | 3+8p=51 | | 2a+1=-1 | | g(t)=-160(0x^2)+60(0) | | 11+3+x=64 | | 6c=24-6 | | 3x^3=-3 | | 11(3x)=64 | | 5x+12=-33 | | 10-1x-3x=7x-23 | | 10x-82(4x-11)= | | -3g+6+-2g=15 | | 5x+12=33 | | 4x-5+3x+15=180 | | -173=2x+3(-5x-23) | | 3-3.7b=10.3b-10 | | 3+3(x+2)=5x | | 5+3X=-8 | | 5x-3(2x-2)=14 | | 2(w-7)-6w=18 | | 3z^2+14z+5=0 |

Equations solver categories