2(3x+1)-5(x+2)=3x+8

Simple and best practice solution for 2(3x+1)-5(x+2)=3x+8 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(3x+1)-5(x+2)=3x+8 equation:


Simplifying
2(3x + 1) + -5(x + 2) = 3x + 8

Reorder the terms:
2(1 + 3x) + -5(x + 2) = 3x + 8
(1 * 2 + 3x * 2) + -5(x + 2) = 3x + 8
(2 + 6x) + -5(x + 2) = 3x + 8

Reorder the terms:
2 + 6x + -5(2 + x) = 3x + 8
2 + 6x + (2 * -5 + x * -5) = 3x + 8
2 + 6x + (-10 + -5x) = 3x + 8

Reorder the terms:
2 + -10 + 6x + -5x = 3x + 8

Combine like terms: 2 + -10 = -8
-8 + 6x + -5x = 3x + 8

Combine like terms: 6x + -5x = 1x
-8 + 1x = 3x + 8

Reorder the terms:
-8 + 1x = 8 + 3x

Solving
-8 + 1x = 8 + 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.
-8 + 1x + -3x = 8 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-8 + -2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -2x = 8 + 0
-8 + -2x = 8

Add '8' to each side of the equation.
-8 + 8 + -2x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 8 + 8
-2x = 8 + 8

Combine like terms: 8 + 8 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

See similar equations:

| -12b-3=21 | | -5x^2+2x+4=0 | | 10=11p-12 | | -11+11=8t-7t | | 11b+2= | | 20=z-11z | | 6y=28-4 | | 6-11+5=-8c+9 | | 3t^2+3t-90=0 | | x^2+y^2-6x+4y-51=0 | | -1=a+8 | | y^2+11=8y | | 6p-7q=-6 | | 7m^2-16m-8=0 | | 62=2a+.7a | | 60=2a+(2+.7a) | | 2a+.7a=60 | | -19+8=6p-7p-5 | | 3x^4+14x^3+14x^2-8x-8=0 | | 3+5h-9=4(3h+4)1 | | 8(z+7)-6=z+60-10 | | 0=-9(b+1) | | .2x=10 | | 4x-2.1=3x-2 | | 9(x+3)=91 | | 3x^2-7x+-9=0 | | Y=x^2-7x+14 | | (6a^3b^6-2b^5)(-8a^4b)=0 | | -y-3y+71=33y-16+8 | | solvex^3+64=0 | | -2x^3+10x^3+12x=0 | | -2x^3-10x^3-12x=0 |

Equations solver categories