2(x+1)+3(x+2)=3(2x+4)

Simple and best practice solution for 2(x+1)+3(x+2)=3(2x+4) 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)=3(2x+4) equation:


Simplifying
2(x + 1) + 3(x + 2) = 3(2x + 4)

Reorder the terms:
2(1 + x) + 3(x + 2) = 3(2x + 4)
(1 * 2 + x * 2) + 3(x + 2) = 3(2x + 4)
(2 + 2x) + 3(x + 2) = 3(2x + 4)

Reorder the terms:
2 + 2x + 3(2 + x) = 3(2x + 4)
2 + 2x + (2 * 3 + x * 3) = 3(2x + 4)
2 + 2x + (6 + 3x) = 3(2x + 4)

Reorder the terms:
2 + 6 + 2x + 3x = 3(2x + 4)

Combine like terms: 2 + 6 = 8
8 + 2x + 3x = 3(2x + 4)

Combine like terms: 2x + 3x = 5x
8 + 5x = 3(2x + 4)

Reorder the terms:
8 + 5x = 3(4 + 2x)
8 + 5x = (4 * 3 + 2x * 3)
8 + 5x = (12 + 6x)

Solving
8 + 5x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 5x + -6x = 12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
8 + -1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -1x = 12 + 0
8 + -1x = 12

Add '-8' to each side of the equation.
8 + -8 + -1x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 12 + -8
-1x = 12 + -8

Combine like terms: 12 + -8 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

See similar equations:

| 37-3x=67 | | 13.5y-5.7y=148.2 | | 4ln(x)=-3 | | 5x+7-3=4x+13 | | 8+4ln(x)=5 | | 0.50(h-500,000.00)=10.00 | | c=0.7+40 | | 6x^2+41xy-30y^2=0 | | 4y-13=7 | | 3*(x-2)-11=42-2x | | 1-10x=5x-8x-20 | | a+4+2a=-1+3a+4 | | 6x(x-1)=2x(x+3)-5 | | 8x-5+8x=5x+21-2x | | -6x-11=-131 | | 3(2x-1)-5=2(2x+3) | | 81a^2-36ab+4b^2= | | 7n-9= | | x-8=0.8(x+5) | | -7.3m=-21.9 | | 2Q+P=25 | | 8n+5=139 | | 2s^3t^3-8s^3t^4= | | (p+13)(p-4)= | | c=0.7y+40 | | 8+x=0.8(x+5) | | x^3+3x^2+3=0 | | -18=a-24 | | -0.5=3x-4 | | 4a+2b=26forb | | 5p+3p-2=62 | | 5p+3p-2=628 |

Equations solver categories