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

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


Simplifying
x + -2(1 + -2x) = 3(x + -3) + 5
x + (1 * -2 + -2x * -2) = 3(x + -3) + 5
x + (-2 + 4x) = 3(x + -3) + 5

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

Combine like terms: x + 4x = 5x
-2 + 5x = 3(x + -3) + 5

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

Reorder the terms:
-2 + 5x = -9 + 5 + 3x

Combine like terms: -9 + 5 = -4
-2 + 5x = -4 + 3x

Solving
-2 + 5x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = -4 + 0
-2 + 2x = -4

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

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

Combine like terms: -4 + 2 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

See similar equations:

| 4(x-2)=8x-4-4x | | x-2(1-2x)=3(j-3)+5 | | 9x+72=9x+8 | | 4x+38=13x+43 | | 25+15x+25y=225 | | y-x=90 | | -0.4= | | 12x+24=8x+12 | | x-2=-2x^2 | | 30=50t-5t^2 | | 50=140-5t^2 | | 13x+9x+10x=352 | | 2x-x=-2 | | 2x+5x= | | -22=3x-5 | | 4x-3x+2x=51 | | b^2-b=12 | | 13m=7 | | 6x+177=13x-12 | | -(2x-1)=4 | | 12c+9d=20.25 | | 80=16t^2 | | 6x+17=13x-12 | | 6x+2x=48 | | 85-5x=13x+23 | | 5t^23=51 | | 180=(10+y)6 | | 0,5y=7-3y | | 6-9(2x+5)-10=-x-15 | | 8x-36=6x | | 2-(x+4)=-(2)(x+1)*3 | | 5t+6-4=154 |

Equations solver categories