6(x-2)+5=15-2(x-1)

Simple and best practice solution for 6(x-2)+5=15-2(x-1) 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 6(x-2)+5=15-2(x-1) equation:


Simplifying
6(x + -2) + 5 = 15 + -2(x + -1)

Reorder the terms:
6(-2 + x) + 5 = 15 + -2(x + -1)
(-2 * 6 + x * 6) + 5 = 15 + -2(x + -1)
(-12 + 6x) + 5 = 15 + -2(x + -1)

Reorder the terms:
-12 + 5 + 6x = 15 + -2(x + -1)

Combine like terms: -12 + 5 = -7
-7 + 6x = 15 + -2(x + -1)

Reorder the terms:
-7 + 6x = 15 + -2(-1 + x)
-7 + 6x = 15 + (-1 * -2 + x * -2)
-7 + 6x = 15 + (2 + -2x)

Combine like terms: 15 + 2 = 17
-7 + 6x = 17 + -2x

Solving
-7 + 6x = 17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 6x + 2x = 17 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-7 + 8x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 8x = 17 + 0
-7 + 8x = 17

Add '7' to each side of the equation.
-7 + 7 + 8x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 17 + 7
8x = 17 + 7

Combine like terms: 17 + 7 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

See similar equations:

| 2377970+26x=3000000 | | 7(x-2)=6x-9 | | 4(f+5)-2(3f+18)=-2(f+8) | | 9x*4x-5x*3= | | Y^2=19 | | 77+4y=-7y | | (2x+10)+9x= | | 0=1-2cos(x) | | (5x+9)+(17-5x)= | | 4((x+0.66667))=-12 | | pq+2(5-q)=0 | | 18s^3=50 | | 4((x+0.66667))=12 | | 0=-sin^2(x)-2cos(x) | | 35m=3500 | | x=-sin^2(x)-2cos(x) | | 8((x+0.75))=-8 | | (2x*7)(5x*6)= | | f(x)=-sin^2(x)-2cos(x) | | 8((x+0.75))=8 | | 2(x-4)-5(6x-8)=3(x-4)-8x+3 | | 2h-8+7h=100 | | ((x))-7=-6 | | ((x))-7=6 | | 7385+(-67x)=5509 | | 9x*5x-6x*2= | | 3(x-5)-6(x-8)=3(x-4)-5(x-6) | | 82.50-8+2x= | | -2((h-7))=28 | | 15+.07=.12m | | (6x+8)+(6x-2)= | | -2((h-7))=-28 |

Equations solver categories