2(X+3)=7(X-2)-5

Simple and best practice solution for 2(X+3)=7(X-2)-5 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+3)=7(X-2)-5 equation: 


Simplifying
2(X + 3) = 7(X + -2) + -5

Reorder the terms:
2(3 + X) = 7(X + -2) + -5
(3 * 2 + X * 2) = 7(X + -2) + -5
(6 + 2X) = 7(X + -2) + -5

Reorder the terms:
6 + 2X = 7(-2 + X) + -5
6 + 2X = (-2 * 7 + X * 7) + -5
6 + 2X = (-14 + 7X) + -5

Reorder the terms:
6 + 2X = -14 + -5 + 7X

Combine like terms: -14 + -5 = -19
6 + 2X = -19 + 7X

Solving
6 + 2X = -19 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
6 + 2X + -7X = -19 + 7X + -7X

Combine like terms: 2X + -7X = -5X
6 + -5X = -19 + 7X + -7X

Combine like terms: 7X + -7X = 0
6 + -5X = -19 + 0
6 + -5X = -19

Add '-6' to each side of the equation.
6 + -6 + -5X = -19 + -6

Combine like terms: 6 + -6 = 0
0 + -5X = -19 + -6
-5X = -19 + -6

Combine like terms: -19 + -6 = -25
-5X = -25

Divide each side by '-5'.
X = 5

Simplifying
X = 5

See similar equations:

| a=8a | | -17x-2=-15x+6 | | .5-14=66 | | 16t^2+12t-160=0 | | X+0.4X=22 | | .2x+51-6=.12x+20.8 | | -8+5(g+2)-2=0 | | -2x^4-13x^2-27x-6x^3+6=0 | | 13-6x=-29 | | (16x^2)+32x+336=0 | | 3u^2+11u-4=0 | | 25=-11+y | | 4-7m=1m+4 | | 160=160-12t-16t^2 | | 4(5t+3)-7=9 | | 6=300+8x | | 22=2+44t-16t^2 | | -9x-5=2x+50 | | 0.11x+0.5(x-2)=0.01(3x-2) | | (4x-8)(6x+7)=0 | | 8(x-6)=3(x+3) | | 2(5-k)+20(k-3)=1 | | 6x-12=11x+3 | | 17x-8x+1=0 | | 5x-12y+4=0 | | 16p+-12=20p+-24 | | 5(5x-6)=3(2x+9) | | 53+4(b)=21 | | 2n+4(n-5)=46 | | 16a+2=-56 | | 3u^2+14u+55=0 | | 4x-7=8x+7 |

Equations solver categories