7(2x+3)=9(x-2)+6

Simple and best practice solution for 7(2x+3)=9(x-2)+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 7(2x+3)=9(x-2)+6 equation:


Simplifying
7(2x + 3) = 9(x + -2) + 6

Reorder the terms:
7(3 + 2x) = 9(x + -2) + 6
(3 * 7 + 2x * 7) = 9(x + -2) + 6
(21 + 14x) = 9(x + -2) + 6

Reorder the terms:
21 + 14x = 9(-2 + x) + 6
21 + 14x = (-2 * 9 + x * 9) + 6
21 + 14x = (-18 + 9x) + 6

Reorder the terms:
21 + 14x = -18 + 6 + 9x

Combine like terms: -18 + 6 = -12
21 + 14x = -12 + 9x

Solving
21 + 14x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 14x + -9x = -12 + 9x + -9x

Combine like terms: 14x + -9x = 5x
21 + 5x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + 5x = -12 + 0
21 + 5x = -12

Add '-21' to each side of the equation.
21 + -21 + 5x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = -12 + -21
5x = -12 + -21

Combine like terms: -12 + -21 = -33
5x = -33

Divide each side by '5'.
x = -6.6

Simplifying
x = -6.6

See similar equations:

| 2x^4-72=0 | | 16x^4-16x^3-32x^2+36x-9=0 | | 4x-2=3x-1 | | 8b^4+2b^2-3=0 | | x^2+9x-36=0 | | x=2y-12 | | -14=-2(5-x)+16 | | 4x-9=21 | | 9x-4.7=8.1-2.3x | | 75=15c | | J=K | | 2y-3x=12 | | K=J | | -5(1-5x)5(-8x-2)=-4x-8x | | 13+x=14x | | 10J=5J-5 | | x+y+4x-3x= | | 15x=32.83+2x+1.16 | | 6(x+1)+5=35 | | 10J=5J+5 | | .5(8-6h)=h | | 2.4(m+3)+3.8=8.2 | | -9x=-5x+40 | | 5.5v-0.2=4.5v-6.2 | | 10J=5J | | 1.4-1.6(1+6)=4.6 | | 8=6 | | 15=1+7c | | w^4+13w^2=-36 | | 555X+3=444X+2 | | 6=2h-9 | | 7y-6=34-5y+7y |

Equations solver categories