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

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


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

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

Reorder the terms:
10 + 2x = 3(-3 + x)
10 + 2x = (-3 * 3 + x * 3)
10 + 2x = (-9 + 3x)

Solving
10 + 2x = -9 + 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.
10 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -9 + 0
10 + -1x = -9

Add '-10' to each side of the equation.
10 + -10 + -1x = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -9 + -10
-1x = -9 + -10

Combine like terms: -9 + -10 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

See similar equations:

| 2x+5-7x=-2x+4 | | 4x-3=3x+4 | | 6-2x=5x-9x+8 | | 8(4r-5)-7r=5(5r-8) | | 5t+3+4t+-8t=5+2 | | -3x+67=7x-18 | | b+(b-8)=20 | | 4x^2-31x-45=0 | | b+(b-8)=200 | | 29+3n=11 | | -2x^4+100=0 | | 5x=2-(x-7) | | 0.35x+0.05(12-x)=0.10(24) | | E-(-37)=-27 | | 4(p-5)=5(p-7) | | 53=12m-8-16 | | x^3=27 | | 2+-10=x-11 | | .142857(x+21)=-6 | | 6(2n-8)+3=15 | | 36y=6 | | 256c^2-100=0 | | 3(-1)=0 | | (X-9)(4x+5)=0 | | -9y-7=4y+19 | | 15x-7=9+11x | | 8x-2y=30 | | 5x-14+10x=50 | | 3x^2-x=45 | | -4x+5x-8+4=6x-4 | | 7-5x=12-13x | | 18m+5-3m=0 |

Equations solver categories