2(4-2x)-3(x+5)=5x-2

Simple and best practice solution for 2(4-2x)-3(x+5)=5x-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(4-2x)-3(x+5)=5x-2 equation:


Simplifying
2(4 + -2x) + -3(x + 5) = 5x + -2
(4 * 2 + -2x * 2) + -3(x + 5) = 5x + -2
(8 + -4x) + -3(x + 5) = 5x + -2

Reorder the terms:
8 + -4x + -3(5 + x) = 5x + -2
8 + -4x + (5 * -3 + x * -3) = 5x + -2
8 + -4x + (-15 + -3x) = 5x + -2

Reorder the terms:
8 + -15 + -4x + -3x = 5x + -2

Combine like terms: 8 + -15 = -7
-7 + -4x + -3x = 5x + -2

Combine like terms: -4x + -3x = -7x
-7 + -7x = 5x + -2

Reorder the terms:
-7 + -7x = -2 + 5x

Solving
-7 + -7x = -2 + 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.
-7 + -7x + -5x = -2 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-7 + -12x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -12x = -2 + 0
-7 + -12x = -2

Add '7' to each side of the equation.
-7 + 7 + -12x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = -2 + 7
-12x = -2 + 7

Combine like terms: -2 + 7 = 5
-12x = 5

Divide each side by '-12'.
x = -0.4166666667

Simplifying
x = -0.4166666667

See similar equations:

| 13=4+s | | 4i-8=40 | | 5f-3h+4f-2g+2f=0 | | 5x+24=6x+4 | | 2x^2-4x+7=k | | y=0,25 | | 2x+209=11x-52 | | 9(2+a)+4(2a+9)=11 | | x^2+2k+9=0 | | +n-8=24 | | 6x-8=10-2x | | -9+2x+3x=11 | | -x-11+3x=3 | | x(x-4)=9 | | 3x-1-x=5 | | 4x(16x+3)=12x+9 | | x(5x-1)=7x-3 | | log(2x-3)+log(9-4x)=0 | | 32-4(3+2)-11*3+21=0 | | 25x^2+110x-278=0 | | -12+3x+2x=3 | | ln(2x-3)+ln(9-4x)=0 | | 45+2a=95 | | 3(5-2)-(1-5)=13 | | 2x+x=0.18 | | 4(x-5)=x+1 | | 4m-16=-39 | | 4m-16=39 | | 4(x+6)+x=5x | | x^2-4x+28=0 | | 9-abs(5x-4)=2 | | 1/15= |

Equations solver categories