5(3x-9)-2=5(x-3)+38

Simple and best practice solution for 5(3x-9)-2=5(x-3)+38 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 5(3x-9)-2=5(x-3)+38 equation:


Simplifying
5(3x + -9) + -2 = 5(x + -3) + 38

Reorder the terms:
5(-9 + 3x) + -2 = 5(x + -3) + 38
(-9 * 5 + 3x * 5) + -2 = 5(x + -3) + 38
(-45 + 15x) + -2 = 5(x + -3) + 38

Reorder the terms:
-45 + -2 + 15x = 5(x + -3) + 38

Combine like terms: -45 + -2 = -47
-47 + 15x = 5(x + -3) + 38

Reorder the terms:
-47 + 15x = 5(-3 + x) + 38
-47 + 15x = (-3 * 5 + x * 5) + 38
-47 + 15x = (-15 + 5x) + 38

Reorder the terms:
-47 + 15x = -15 + 38 + 5x

Combine like terms: -15 + 38 = 23
-47 + 15x = 23 + 5x

Solving
-47 + 15x = 23 + 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.
-47 + 15x + -5x = 23 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-47 + 10x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-47 + 10x = 23 + 0
-47 + 10x = 23

Add '47' to each side of the equation.
-47 + 47 + 10x = 23 + 47

Combine like terms: -47 + 47 = 0
0 + 10x = 23 + 47
10x = 23 + 47

Combine like terms: 23 + 47 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

See similar equations:

| 5x+62=8x-10 | | 14+7x=49+2x | | Cosx=.75 | | 14x-5=22+5x | | 6t+2=5t | | z+9z=10z | | 13x-15=7x+37 | | 4x^2+20x=-20 | | 12+7x=2x+52 | | 0.7*7= | | 10x^2+38x+35=0 | | 10n(n-3)= | | 2(x+2)=7(x-2)-7 | | 3(2x-7)-8=7x-2[8x-(3x-4)] | | 4a+2b-3a-b-b-a= | | (x-2)/4-(5x-2)/9=(x+5)/6 | | 3(n+8)=51 | | 31-5x=20-3x | | 9x-9=7x-15 | | 3x(2x+4)=18 | | 9x-17=5x-5x | | 3x+6=10x-15x | | 4m+-10=6 | | 3x+4+6x=9 | | M-1=5M+19 | | 12x-(7x-4)=19 | | 6x*2-30x-14=0 | | 4(a-1)=36 | | 2x^3-16x^2-0.5x+4=0.5 | | 3x+4+6x-9=11 | | 2x^3-16x^2-0.5x+4=0 | | M-1=M+19 |

Equations solver categories