2(x-1)=3(x+2)-5(x+3)

Simple and best practice solution for 2(x-1)=3(x+2)-5(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-1)=3(x+2)-5(x+3) equation:


Simplifying
2(x + -1) = 3(x + 2) + -5(x + 3)

Reorder the terms:
2(-1 + x) = 3(x + 2) + -5(x + 3)
(-1 * 2 + x * 2) = 3(x + 2) + -5(x + 3)
(-2 + 2x) = 3(x + 2) + -5(x + 3)

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

Reorder the terms:
-2 + 2x = 6 + 3x + -5(3 + x)
-2 + 2x = 6 + 3x + (3 * -5 + x * -5)
-2 + 2x = 6 + 3x + (-15 + -5x)

Reorder the terms:
-2 + 2x = 6 + -15 + 3x + -5x

Combine like terms: 6 + -15 = -9
-2 + 2x = -9 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-2 + 2x = -9 + -2x

Solving
-2 + 2x = -9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 2x + 2x = -9 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-2 + 4x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 4x = -9 + 0
-2 + 4x = -9

Add '2' to each side of the equation.
-2 + 2 + 4x = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = -9 + 2
4x = -9 + 2

Combine like terms: -9 + 2 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

See similar equations:

| 4x+12=6x-8 | | 10x+15=16x+3 | | 3y/12 | | x^5/x^-4 | | n^2+14n+33=0 | | 15=v-u | | 15+3f=2f | | 8x+30=(12x+3)-5 | | 3x+76=7x+20 | | 3(2)+2y=72 | | 3x+2(0)=72 | | 3(0)+2y=72 | | -12(y-2)=(x+1)2 | | 7+-1=8x+4 | | x+5y=3y | | 5(14)+7y=35 | | 12x-9=10x+15 | | 5x+7(0)=35 | | 6x^2-5x=9 | | (7x)=(x-4) | | 4(8-2x)+2x=5(9+3x) | | 7-8=31-22x | | -10x-y=15 | | 2a+4=3d | | 53=223-u | | 23=-v+231 | | (4x^2+28x+21)/(x+6) | | -x+40=190 | | 1000=10000+5(100)-(100)^2/10000 | | 6(u-1)=8u+12 | | y=-9(5)+3 | | -29-8x=21-15x |

Equations solver categories