2(x+3)=5(x-2)+9

Simple and best practice solution for 2(x+3)=5(x-2)+9 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)=5(x-2)+9 equation:


Simplifying
2(x + 3) = 5(x + -2) + 9

Reorder the terms:
2(3 + x) = 5(x + -2) + 9
(3 * 2 + x * 2) = 5(x + -2) + 9
(6 + 2x) = 5(x + -2) + 9

Reorder the terms:
6 + 2x = 5(-2 + x) + 9
6 + 2x = (-2 * 5 + x * 5) + 9
6 + 2x = (-10 + 5x) + 9

Reorder the terms:
6 + 2x = -10 + 9 + 5x

Combine like terms: -10 + 9 = -1
6 + 2x = -1 + 5x

Solving
6 + 2x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -1 + 0
6 + -3x = -1

Add '-6' to each side of the equation.
6 + -6 + -3x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -1 + -6
-3x = -1 + -6

Combine like terms: -1 + -6 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

See similar equations:

| (x+5)(2x-6)=0 | | 17.4+3e=-2.7 | | 4x-2(3x-1)=5(2x+3) | | 10=x*a+x*a*b | | 10=abx+ax | | 2(t-5)+6t=4(2t+4)-8 | | 3+8-2x+6=33 | | (9-6)+2(4+9)= | | 3(x+5)=8x-(7-2x) | | 4x+1=321 | | (6+9)+4(5+3)= | | 4.2q-5.2-5.5q=-2.3q-5.1 | | (6+9)+3(5+3)= | | I=-400p+20000p | | 4t^2=9 | | (8+2)+2(3+2)= | | 1.3x-0.7=2.7x | | 4t^2=99 | | x^2+65=50 | | (7+2)+3(4+5)= | | -(6y+5)-(-5y-7)=1 | | (9-6)+1(4+9)-4= | | x^2-x=x+24 | | 9/2(x-3)=27 | | 2.49+1.24n=11.17 | | 2z^2-2z-12=0 | | -24.8+a=49.67 | | 5x+2y=47 | | 200+0.05x=0.10x+75 | | -14=22-3x | | 6wx^7y^7+18w^2x^6= | | 6x+18y = 24 |

Equations solver categories