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

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


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

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

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

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

Combine like terms: -8 + 15 = 7
7 + 2x + 3x = x + 2

Combine like terms: 2x + 3x = 5x
7 + 5x = x + 2

Reorder the terms:
7 + 5x = 2 + x

Solving
7 + 5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 5x + -1x = 2 + x + -1x

Combine like terms: 5x + -1x = 4x
7 + 4x = 2 + x + -1x

Combine like terms: x + -1x = 0
7 + 4x = 2 + 0
7 + 4x = 2

Add '-7' to each side of the equation.
7 + -7 + 4x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 2 + -7
4x = 2 + -7

Combine like terms: 2 + -7 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

See similar equations:

| x(5x+2)=2x^2-5x+40 | | 12-4m=4(3+3m) | | 2x(4x+y)=67 | | 18.50=26-5x | | 7t-2=-4(y-5) | | 50-2x=2 | | -5(-15)=125 | | 3x+6+2x+7= | | 7y+12=-20-y | | 6(r-2)+4=20 | | 46=14-8a | | 8x+(3-2y)+(6x-9)-(x+y)= | | 4p+1-6p=-8 | | 7x-30=-16 | | 2log(x-1)=log(x-1) | | 50=3x-1-2x+1 | | 50=3x-1+2x+1 | | 4x+5-7x=-15 | | 50=3x-12x+1 | | 10x^2+3x+9=13 | | X^2-6x-11=-4 | | x*6+86=x*10-6 | | f(x)=9xsquared+5x+1 | | 2[x+8]=-4[5x-2]+8x | | 2x-7+4x+15=56 | | (4x-7)+(-12-8x)= | | 3+25x=20x+12 | | 15-4t=4 | | 3+25x=20x-12 | | e^4x=10 | | 2z(z)+20z=0 | | 3+25x=2-0x+12 |

Equations solver categories