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

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


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

Reorder the terms:
2(7 + x) = 3(x + -5)
(7 * 2 + x * 2) = 3(x + -5)
(14 + 2x) = 3(x + -5)

Reorder the terms:
14 + 2x = 3(-5 + x)
14 + 2x = (-5 * 3 + x * 3)
14 + 2x = (-15 + 3x)

Solving
14 + 2x = -15 + 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.
14 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -15 + 0
14 + -1x = -15

Add '-14' to each side of the equation.
14 + -14 + -1x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -15 + -14
-1x = -15 + -14

Combine like terms: -15 + -14 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

See similar equations:

| 2x^2-18x-34=0 | | 105a^2-33a-18=0 | | 4v^2-35v+49=0 | | 160=20x+16y | | 6(x+5)=7[x-(3-x)] | | 12r-8=32 | | 10x^2-3x-4=0 | | 5c^2=4+8c | | 6x-9=-6+7x | | -3x^2+5x+12=0 | | 18=9x-5x-x | | 4x-5y=6 | | 2t-23=-30+3t | | 6y(7y-6)+30y= | | 54x+1= | | 168-5x=22x+24 | | 16y-34=2y+25 | | 0=4d^2+6d+3 | | 6(3+4x)-2=88 | | 10-29c+10c^2=0 | | 2y+25=16y-34 | | -129-10x=7x+24 | | 7m^2+10m+3=0 | | 8-8y=2 | | 6x+9=89-2x | | 12*k^2-8=0 | | 5*x^2-5*x-20=0 | | 4*r^2+2*r-32=-12 | | x^2+9*x-42=-6 | | 8-7x=118-42x | | 8=-14 | | 4*k^2-81=0 |

Equations solver categories