3*(x+5)+6=7-2(x-2)

Simple and best practice solution for 3*(x+5)+6=7-2(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 3*(x+5)+6=7-2(x-2) equation:


Simplifying
3(x + 5) + 6 = 7 + -2(x + -2)

Reorder the terms:
3(5 + x) + 6 = 7 + -2(x + -2)
(5 * 3 + x * 3) + 6 = 7 + -2(x + -2)
(15 + 3x) + 6 = 7 + -2(x + -2)

Reorder the terms:
15 + 6 + 3x = 7 + -2(x + -2)

Combine like terms: 15 + 6 = 21
21 + 3x = 7 + -2(x + -2)

Reorder the terms:
21 + 3x = 7 + -2(-2 + x)
21 + 3x = 7 + (-2 * -2 + x * -2)
21 + 3x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
21 + 3x = 11 + -2x

Solving
21 + 3x = 11 + -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.
21 + 3x + 2x = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
21 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 5x = 11 + 0
21 + 5x = 11

Add '-21' to each side of the equation.
21 + -21 + 5x = 11 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 11 + -21
5x = 11 + -21

Combine like terms: 11 + -21 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

See similar equations:

| 4|10n-4|-4=92 | | 0=2x^6+5x^4-x^2 | | -5+19= | | 2*(x+1)=3*(x+5) | | 25p^3q-81pq^3=0 | | 2x^3-15x^2+27x-10=0 | | x-21=x+67 | | 7x+6=-15 | | 2thirds(4x-7)=4 | | 3x+7=5-2x | | 5(2+2x)=9(x-4) | | 2c+4c+c=56 | | n/13=7 | | 0.833333b=1.875 | | 5x+2(x+6)=37+3 | | 2(a+8)+7=5(a+2)-3a-19 | | 1+5+x=12 | | -6-6(2x+5)= | | -6+7-2x=28 | | -3(1-2x)-3(x-4)=-5-4x | | 5x+4=13+4x | | -(8m+4)=4m-(6m+2) | | 3(x)+6=42 | | t^2-14t+36=0 | | a+9-7=0 | | w-19=-6 | | -9x-9=-16-8x | | 3x^4+6x^3-72x^2= | | 3x^4+6x^3-72x^2= | | 2+4/5=-7+2/5 | | k/4+2k/5=26 | | -2(y-4)=20-2y-12 |

Equations solver categories