5(x-6)-6(x-5)=x+3-(x-2)

Simple and best practice solution for 5(x-6)-6(x-5)=x+3-(x-2) 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-6)-6(x-5)=x+3-(x-2) equation:


Simplifying
5(x + -6) + -6(x + -5) = x + 3 + -1(x + -2)

Reorder the terms:
5(-6 + x) + -6(x + -5) = x + 3 + -1(x + -2)
(-6 * 5 + x * 5) + -6(x + -5) = x + 3 + -1(x + -2)
(-30 + 5x) + -6(x + -5) = x + 3 + -1(x + -2)

Reorder the terms:
-30 + 5x + -6(-5 + x) = x + 3 + -1(x + -2)
-30 + 5x + (-5 * -6 + x * -6) = x + 3 + -1(x + -2)
-30 + 5x + (30 + -6x) = x + 3 + -1(x + -2)

Reorder the terms:
-30 + 30 + 5x + -6x = x + 3 + -1(x + -2)

Combine like terms: -30 + 30 = 0
0 + 5x + -6x = x + 3 + -1(x + -2)
5x + -6x = x + 3 + -1(x + -2)

Combine like terms: 5x + -6x = -1x
-1x = x + 3 + -1(x + -2)

Reorder the terms:
-1x = x + 3 + -1(-2 + x)
-1x = x + 3 + (-2 * -1 + x * -1)
-1x = x + 3 + (2 + -1x)

Reorder the terms:
-1x = 3 + 2 + x + -1x

Combine like terms: 3 + 2 = 5
-1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-1x = 5 + 0
-1x = 5

Solving
-1x = 5

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

See similar equations:

| y*37.5=625 | | 3y-8=11y+16 | | 4=-2x*3 | | y-37.5=625 | | 960=2x^2-8x | | x+79+(3x+11)=180 | | 5x-4=2+4x | | 6+2/3(2n-15)=4 | | 7+9lnx=4 | | 5p=4p-10 | | Y+15Y=528 | | (w+3)(w-6)= | | -21-6x=12-10x | | (7x/4)+x=22 | | 0.3*6= | | 8*25/5 | | 8x/5 | | (8x/5)+x=65 | | 4x+4(x-8)=16 | | 2x+28=2x-60 | | (6x/5)+x=88 | | 4x+5(3x-12)=92 | | 9/8-4-5 | | 3x^2+2y^2=0 | | 9/8-45 | | (x+y)*0.604+(z-0.1*(x+y+z))*0.471=150 | | 5x^2+3x+10=32 | | 5x^1+3x+10=32 | | 2x^2+2y^2-8x+12y+2=0 | | 2x+3(7x-16)=67 | | 5x+13=58 | | 43x+36=56x-3 |

Equations solver categories