2(5x-9)+6=3(x+6)

Simple and best practice solution for 2(5x-9)+6=3(x+6) 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(5x-9)+6=3(x+6) equation:


Simplifying
2(5x + -9) + 6 = 3(x + 6)

Reorder the terms:
2(-9 + 5x) + 6 = 3(x + 6)
(-9 * 2 + 5x * 2) + 6 = 3(x + 6)
(-18 + 10x) + 6 = 3(x + 6)

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

Combine like terms: -18 + 6 = -12
-12 + 10x = 3(x + 6)

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

Solving
-12 + 10x = 18 + 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.
-12 + 10x + -3x = 18 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-12 + 7x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 7x = 18 + 0
-12 + 7x = 18

Add '12' to each side of the equation.
-12 + 12 + 7x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 18 + 12
7x = 18 + 12

Combine like terms: 18 + 12 = 30
7x = 30

Divide each side by '7'.
x = 4.285714286

Simplifying
x = 4.285714286

See similar equations:

| 7.50x+2+28x+86x(40)=300 | | 5x+2(2x+3)=114 | | 45t=180 | | 4a=-25 | | 6(5x+6)=126 | | -5=2x+8 | | 11x+13=x+23 | | 126=7x+2(4x-12) | | 3x+136+7x+124=180 | | x=-0.7692307692 | | 10x+10y=700 | | 3x+136=7x+124 | | 4x+5(x-18)=-27 | | -2x=x-5(3x+2)-x | | 5x-2y=110 | | 12b+6a=168 | | -3=6x+5(x-16) | | (5k-2)-8k=-34 | | 5+6x=2x-3 | | 6+3*x=18 | | 239(x+20)=956 | | 7.50x+2+28x+86x=300 | | 48=4x+5(x-12) | | 3x-(2x+3y)+7=5x-2 | | -5=3+x-6 | | -6n+7(2n+7)=97 | | 4x+3(3x-13)=117 | | y-3=x+4 | | 6g+2(-3+2g)=1-g | | 5(a+3)+4= | | 54=6x+2(x+7) | | 7+2x-6=-9 |

Equations solver categories