2(3x-1)=7-3(3x-2)

Simple and best practice solution for 2(3x-1)=7-3(3x-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 2(3x-1)=7-3(3x-2) equation:


Simplifying
2(3x + -1) = 7 + -3(3x + -2)

Reorder the terms:
2(-1 + 3x) = 7 + -3(3x + -2)
(-1 * 2 + 3x * 2) = 7 + -3(3x + -2)
(-2 + 6x) = 7 + -3(3x + -2)

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

Combine like terms: 7 + 6 = 13
-2 + 6x = 13 + -9x

Solving
-2 + 6x = 13 + -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.
-2 + 6x + 9x = 13 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-2 + 15x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 15x = 13 + 0
-2 + 15x = 13

Add '2' to each side of the equation.
-2 + 2 + 15x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 13 + 2
15x = 13 + 2

Combine like terms: 13 + 2 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

See similar equations:

| 5x+12-14=4x+22 | | y=.5-2(0)2(1) | | (10-2x)(10-2x)x-72=x | | 5x=16-2y | | y=.5-2(0)2 | | 2(14.3-1.6y)-y=7 | | 2y-8x+12=0 | | (7-i)(4+2i)= | | -(4y-6)=1/3 | | 4x+6=24x+16 | | 4a-7-3a=3-2a | | 15x+52x+45=0 | | y=.5-2(0) | | 28f=7f-14 | | 5x-3(x+2)=6-3x | | 6(8)-2(3)= | | 500x+200y=390 | | 38+3x=-97+8x | | 5d+15=20d-30 | | y=.5-2*x^2 | | 36p^2-1=0 | | 4(2d+5)=3(1-7d) | | y=.819(0)+212 | | 500(78-.4y)+200y=39000 | | 6x+30=5x-45 | | 500(78-.4y)+200y=38000 | | =-96x^2-56x+96 | | a^4+4a^2+16=0 | | 4x^2-25m^2=0 | | 5(x+1)=2(x+10) | | 5a+4=2a-5 | | 4w+(w+30)=360 |

Equations solver categories