3(2x-5)+2=(2x-1)-3(x-3)

Simple and best practice solution for 3(2x-5)+2=(2x-1)-3(x-3) 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(2x-5)+2=(2x-1)-3(x-3) equation:


Simplifying
3(2x + -5) + 2 = (2x + -1) + -3(x + -3)

Reorder the terms:
3(-5 + 2x) + 2 = (2x + -1) + -3(x + -3)
(-5 * 3 + 2x * 3) + 2 = (2x + -1) + -3(x + -3)
(-15 + 6x) + 2 = (2x + -1) + -3(x + -3)

Reorder the terms:
-15 + 2 + 6x = (2x + -1) + -3(x + -3)

Combine like terms: -15 + 2 = -13
-13 + 6x = (2x + -1) + -3(x + -3)

Reorder the terms:
-13 + 6x = (-1 + 2x) + -3(x + -3)

Remove parenthesis around (-1 + 2x)
-13 + 6x = -1 + 2x + -3(x + -3)

Reorder the terms:
-13 + 6x = -1 + 2x + -3(-3 + x)
-13 + 6x = -1 + 2x + (-3 * -3 + x * -3)
-13 + 6x = -1 + 2x + (9 + -3x)

Reorder the terms:
-13 + 6x = -1 + 9 + 2x + -3x

Combine like terms: -1 + 9 = 8
-13 + 6x = 8 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-13 + 6x = 8 + -1x

Solving
-13 + 6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 6x + x = 8 + -1x + x

Combine like terms: 6x + x = 7x
-13 + 7x = 8 + -1x + x

Combine like terms: -1x + x = 0
-13 + 7x = 8 + 0
-13 + 7x = 8

Add '13' to each side of the equation.
-13 + 13 + 7x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 8 + 13
7x = 8 + 13

Combine like terms: 8 + 13 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

See similar equations:

| 1/2*38 | | 2y=6*2-10 | | 3.7=(4x^2)/(2.5-x) | | 2y=6*0-10 | | x^2+3y^2=17 | | 160/b=0.2 | | 18d+3=9d+66 | | 5(x-6)+10=4x-12 | | a/160=0.1 | | 3X^3-5x-75=0 | | 2y=6*-3-10 | | 9+8n-6=5n+33-2n | | 3x^2-18x+40=0 | | -2-x^2=0 | | 3x+8x=x-24 | | 0.6(2x+0.5)=3[0.3x+(-0.5)]+8 | | s=7q+28r | | 16x+12y= | | 0.6(2x+0.5)=3[0.3x(-0.5)]+8 | | 16x-7=8+17 | | r=4q-28s | | (7b+15)-b=256 | | x^2-6x=x-15 | | 8x-9y=-2 | | 9m+4=6 | | 2(3x+2)+5x-4= | | 7=7(5-2x) | | 2(4y+3)=18 | | tg^2x=tg^2b | | x+0.5x=8 | | 4+3x=2(2x+5)-2 | | y=0.0855x+0.944 |

Equations solver categories