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

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


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

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

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

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

Combine like terms: 10 + 2 = 12
-6 + 2x = 12 + 5x

Solving
-6 + 2x = 12 + 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 = 12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-6 + -3x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -3x = 12 + 0
-6 + -3x = 12

Add '6' to each side of the equation.
-6 + 6 + -3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 12 + 6
-3x = 12 + 6

Combine like terms: 12 + 6 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

See similar equations:

| -102-8x=72-45x | | 3m+6-7m=-18 | | x^2-6x-18=0 | | .88*172= | | 6x+29=16x-81 | | [100-12]/100= | | [100-12]/100*172= | | -12=5(p-2) | | 6+22=15x-59 | | logx+log(x+6)=2 | | 2k-5+3k=10 | | 2.3x+4.8=9.3 | | 5x+(7-2x)=-20 | | 2+6x=27+x | | 2x+24=5x+15 | | 5x-3=15x-213 | | (x-11)(x^2+7x-2)= | | 9y-5=7 | | 3h-5h=20 | | 6=3-4x | | 5d+3d=-24 | | 5-2(x-1)=6x+3(2x-7) | | -25=1.25t-5-.25t | | 3.5r+1.5r=100 | | .33p-.33+.33p=.66p-.33-.33p | | .5n-.75n+.25=5n+.25n | | 15-w/6=22 | | 2.5m+1.2m=1.08+m | | -2.1=3.2k+0.2-1.2k | | -8+x/7=16 | | 3x+2=4(x-3) | | 4x-10i=4x-30u |

Equations solver categories