0.5(3-7x)=8-(4x+6)

Simple and best practice solution for 0.5(3-7x)=8-(4x+6) 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 0.5(3-7x)=8-(4x+6) equation: 


Simplifying
0.5(3 + -7x) = 8 + -1(4x + 6)
(3 * 0.5 + -7x * 0.5) = 8 + -1(4x + 6)
(1.5 + -3.5x) = 8 + -1(4x + 6)

Reorder the terms:
1.5 + -3.5x = 8 + -1(6 + 4x)
1.5 + -3.5x = 8 + (6 * -1 + 4x * -1)
1.5 + -3.5x = 8 + (-6 + -4x)

Combine like terms: 8 + -6 = 2
1.5 + -3.5x = 2 + -4x

Solving
1.5 + -3.5x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1.5 + -3.5x + 4x = 2 + -4x + 4x

Combine like terms: -3.5x + 4x = 0.5x
1.5 + 0.5x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
1.5 + 0.5x = 2 + 0
1.5 + 0.5x = 2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5x = 2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x = 2 + -1.5
0.5x = 2 + -1.5

Combine like terms: 2 + -1.5 = 0.5
0.5x = 0.5

Divide each side by '0.5'.
x = 1

Simplifying
x = 1

See similar equations:

| 3w+1+2(5w+3)=46 | | 5x/12-7x/12 | | 3(4k-1)+2(5k-3k)=7k+6 | | r^2=20-9r | | 8n+5=n+13 | | 21=y+2x | | 1036=12x+352 | | 17-x=2x+3 | | 14n-4n-7=3 | | 5-c=-11 | | 7+2f=9+4 | | X=100-10y/10 | | 1.42y=3.14(y-8.62) | | 28=4xn | | 2x^2+16x=-30 | | 6=-8b+3b | | 5x-2+x=46 | | 7(n-2)=-28 | | 54=3xn | | 2Y+6=14Y | | X+2.7=8 | | 102x*2x= | | 8x^2-8=16x | | 45xX= | | 1.6r+9=1.4r+13 | | 5*x-2=2x+16 | | 1/2(12k-6) | | X-5y=86 | | 122-y=90 | | 6x+9=10-3 | | 7x+10=2x+30 | | (x^2+6x-6)(x^2+4x-6)=0 |

Equations solver categories