3(3x+4)=5(x-2)

Simple and best practice solution for 3(3x+4)=5(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(3x+4)=5(x-2) equation:


Simplifying
3(3x + 4) = 5(x + -2)

Reorder the terms:
3(4 + 3x) = 5(x + -2)
(4 * 3 + 3x * 3) = 5(x + -2)
(12 + 9x) = 5(x + -2)

Reorder the terms:
12 + 9x = 5(-2 + x)
12 + 9x = (-2 * 5 + x * 5)
12 + 9x = (-10 + 5x)

Solving
12 + 9x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 9x + -5x = -10 + 5x + -5x

Combine like terms: 9x + -5x = 4x
12 + 4x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 4x = -10 + 0
12 + 4x = -10

Add '-12' to each side of the equation.
12 + -12 + 4x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -10 + -12
4x = -10 + -12

Combine like terms: -10 + -12 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

See similar equations:

| 15+x^2=x^2+81 | | (3x+3.50)+(2x+2.99)= | | (6)+7-(46)= | | 15=230x-5y | | 3(w-2)-w=2(2w+1) | | 480=(-264+86x+21x^2+x^3) | | (8x-10)+(4-3x)=4(x-6) | | 1.2+4.8x=3.6 | | 6+Ln(x+4)=7 | | x^2-7x-196=0 | | 7f-4=3f-10 | | 5x+3=2(x+5)-3 | | wx+wx-wx= | | 6ln(x+8)-4lnx= | | lnx^3=y | | log[5](x+11)+log[5](x+7)=1 | | z^2+iz+2-6i=0 | | 16.68X=323 | | 65+2=69 | | 13f+5=11f-7 | | 3X(2-5)=5 | | 3x+10=2x-2 | | w^2+10w+77=0 | | 9p+8=6p-19 | | (x-8)(3x+2)=0 | | 7t+7-t+4= | | absx=2x-8 | | abs(x)=8 | | log(4)(6x-9)=4 | | 2c+5p=153 | | x^2-50=10 | | x^2+30=10 |

Equations solver categories