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

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


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

Reorder the terms:
5x + -2(4 + 3x) = 2 + -3(x + -4)
5x + (4 * -2 + 3x * -2) = 2 + -3(x + -4)
5x + (-8 + -6x) = 2 + -3(x + -4)

Reorder the terms:
-8 + 5x + -6x = 2 + -3(x + -4)

Combine like terms: 5x + -6x = -1x
-8 + -1x = 2 + -3(x + -4)

Reorder the terms:
-8 + -1x = 2 + -3(-4 + x)
-8 + -1x = 2 + (-4 * -3 + x * -3)
-8 + -1x = 2 + (12 + -3x)

Combine like terms: 2 + 12 = 14
-8 + -1x = 14 + -3x

Solving
-8 + -1x = 14 + -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.
-8 + -1x + 3x = 14 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-8 + 2x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 2x = 14 + 0
-8 + 2x = 14

Add '8' to each side of the equation.
-8 + 8 + 2x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 14 + 8
2x = 14 + 8

Combine like terms: 14 + 8 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

See similar equations:

| -(2y-6)=-22 | | 3(4x-3)=-57 | | 10a+5a-3=15 | | 8-8n=16 | | x-4(y+2)=8 | | 6=g | | x/6=x/7-1 | | (2x-7)x(4x+3)=112 | | -0.3(x+9)=12 | | 8s-6=2(5+11) | | n-5×2/3=3/4 | | 40/t-9=11 | | 5q-7=a2/3 | | 0.7x+12.9=8 | | 11=(r/-6) | | 6=4z-2 | | 4x-6=2(3x+5) | | 11=r/-6 | | -2y+15=5 | | 10-3(x-3)=35x | | -9=6d+12-2d+1 | | 24-[4+8y-2(y+5)]=-4(5y-4)-[5(y-1)-13y+9] | | 8x+13=76+x | | 8(x-2)=7(3+x) | | y=8-3x^2 | | 4x-5x+y+3=0 | | 3/8-14=10 | | x=5+-9x | | 6/5y-2=10-24 | | 6x+5=4x+12 | | 475=40x+5(x+1.5) | | -5(n-8)=-4n+32 |

Equations solver categories