2(x+4)=3(x+5)-10

Simple and best practice solution for 2(x+4)=3(x+5)-10 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 2(x+4)=3(x+5)-10 equation: 


Simplifying
2(x + 4) = 3(x + 5) + -10

Reorder the terms:
2(4 + x) = 3(x + 5) + -10
(4 * 2 + x * 2) = 3(x + 5) + -10
(8 + 2x) = 3(x + 5) + -10

Reorder the terms:
8 + 2x = 3(5 + x) + -10
8 + 2x = (5 * 3 + x * 3) + -10
8 + 2x = (15 + 3x) + -10

Reorder the terms:
8 + 2x = 15 + -10 + 3x

Combine like terms: 15 + -10 = 5
8 + 2x = 5 + 3x

Solving
8 + 2x = 5 + 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.
8 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 5 + 0
8 + -1x = 5

Add '-8' to each side of the equation.
8 + -8 + -1x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 5 + -8
-1x = 5 + -8

Combine like terms: 5 + -8 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

See similar equations:

| 5n+50=50 | | 4x-3=3(x-2)+2(x-3) | | 5x-2(3+4x)=6x-5 | | 2x-11=-33 | | 2x-18=44 | | 5(2c-11)-5=6c+2 | | 3(y-5)=y-15 | | 5(x-2)-15=0 | | 25+3y-8=14y-13-5y | | x+17+2x=-16-2x-22 | | 18-6x=102x | | 4-6C=-5 | | 3x-7=-8 | | 8(x-2)=-4(x+1)+22 | | 13-3p=-5(3+2p) | | 6(x+3)=14x-26 | | -1.6x=30.4 | | -2x+5=39 | | 98X+56=4X+7 | | -3(x+n)=x | | xf-xg=h | | .3-.67(2)=n | | 3x+12y=57 | | 9x-2y=19 | | 26x+21=-39x-6 | | 4.8(x-2)=-0.2x+30.4 | | 9x-4=2x+24 | | 9x=2x+42 | | 8(7-y)=-24 | | 18x+15=9x+34 | | 5x-2=43 | | 9x+4=40 |

Equations solver categories