5-3(x-3)=2(2-x)-8

Simple and best practice solution for 5-3(x-3)=2(2-x)-8 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 5-3(x-3)=2(2-x)-8 equation: 


Simplifying
5 + -3(x + -3) = 2(2 + -1x) + -8

Reorder the terms:
5 + -3(-3 + x) = 2(2 + -1x) + -8
5 + (-3 * -3 + x * -3) = 2(2 + -1x) + -8
5 + (9 + -3x) = 2(2 + -1x) + -8

Combine like terms: 5 + 9 = 14
14 + -3x = 2(2 + -1x) + -8
14 + -3x = (2 * 2 + -1x * 2) + -8
14 + -3x = (4 + -2x) + -8

Reorder the terms:
14 + -3x = 4 + -8 + -2x

Combine like terms: 4 + -8 = -4
14 + -3x = -4 + -2x

Solving
14 + -3x = -4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
14 + -3x + 2x = -4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
14 + -1x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + -1x = -4 + 0
14 + -1x = -4

Add '-14' to each side of the equation.
14 + -14 + -1x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -4 + -14
-1x = -4 + -14

Combine like terms: -4 + -14 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

See similar equations:

| -10p+8=-6-8p-4p | | 2n-4n=30 | | 14=-4+9x | | 5x-3y=42 | | 10+m=-10-3m | | 3+2u=11 | | 5x-15xy+xz= | | 13j-12j=19 | | 13j-12j= | | 12x+59=x+70 | | 75+50x=25+75x | | 2x+17=14+x | | 7-d/4=5/2 | | -3(t-3)+7t=8t-2 | | 2(x+4)+3x=183 | | (12x+6)=5x | | 10=p/10 | | y=36(1/2) | | 8x^2+44-16=0 | | A[n]=2n+5 | | 3x-3x^3=0 | | 4x+19+15=180 | | X-3/-6=-9/3x | | 1/9x÷9y | | 8X-8(x+5)=2 | | n^2+2n=4n-5 | | 3x-5=3(x+1) | | y=-75x-1 | | x+4=4x-2-.50 | | -5(3x-1)+4=4(x+2) | | 8(3t-5)=28 | | 1/9x/9y |

Equations solver categories