3(2x+6)=4(3x-2)-10

Simple and best practice solution for 3(2x+6)=4(3x-2)-10 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(2x+6)=4(3x-2)-10 equation:


Simplifying
3(2x + 6) = 4(3x + -2) + -10

Reorder the terms:
3(6 + 2x) = 4(3x + -2) + -10
(6 * 3 + 2x * 3) = 4(3x + -2) + -10
(18 + 6x) = 4(3x + -2) + -10

Reorder the terms:
18 + 6x = 4(-2 + 3x) + -10
18 + 6x = (-2 * 4 + 3x * 4) + -10
18 + 6x = (-8 + 12x) + -10

Reorder the terms:
18 + 6x = -8 + -10 + 12x

Combine like terms: -8 + -10 = -18
18 + 6x = -18 + 12x

Solving
18 + 6x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + 6x + -12x = -18 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
18 + -6x = -18 + 0
18 + -6x = -18

Add '-18' to each side of the equation.
18 + -18 + -6x = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -18 + -18
-6x = -18 + -18

Combine like terms: -18 + -18 = -36
-6x = -36

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

Simplifying
x = 6

See similar equations:

| 3x+4=22 | | 2x-4=20 | | 2t^3-6t^2+3=0 | | 6x-9-3x+12=27 | | 10x-30=60 | | 5+x+3+x=32 | | -8+6m=16 | | (3y-7)(y-7)=0 | | 3x-1.5=0.9-1.5x | | 7x-15=4x+45 | | 3-1.5=0.9-1.5x | | 4t^3-12t^2+6=0 | | (2n+5)(n-4)=15 | | (2n+5)(n-4)=15 | | kx^2-12x+3=0 | | -4+y=10 | | 3.8y=26.6 | | 5x^2+5x=3+7x | | F(x)=-x^2+60x-500 | | 5(4y+1)=65 | | 2y=160-x | | 12=-4+4y | | 5y+7=2y+18 | | 2d^2-18d-7=0 | | x^2+14x+a= | | 9d=2.6 | | y=0.0012x^3-0.0461x^2+5.4346x+0 | | 6x+5=4x-10 | | -0.92x+6=28 | | -0.92+6=28 | | x^3+y^3=341 | | 34.8-86.12-(-29.7)= |

Equations solver categories