6x-2(1+x)=7+5(x-3)

Simple and best practice solution for 6x-2(1+x)=7+5(x-3) 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 6x-2(1+x)=7+5(x-3) equation:


Simplifying
6x + -2(1 + x) = 7 + 5(x + -3)
6x + (1 * -2 + x * -2) = 7 + 5(x + -3)
6x + (-2 + -2x) = 7 + 5(x + -3)

Reorder the terms:
-2 + 6x + -2x = 7 + 5(x + -3)

Combine like terms: 6x + -2x = 4x
-2 + 4x = 7 + 5(x + -3)

Reorder the terms:
-2 + 4x = 7 + 5(-3 + x)
-2 + 4x = 7 + (-3 * 5 + x * 5)
-2 + 4x = 7 + (-15 + 5x)

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

Solving
-2 + 4x = -8 + 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.
-2 + 4x + -5x = -8 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = -8 + 0
-2 + -1x = -8

Add '2' to each side of the equation.
-2 + 2 + -1x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -8 + 2
-1x = -8 + 2

Combine like terms: -8 + 2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

See similar equations:

| 4.37+y=73.35 | | c*2+2c-15=0 | | 31+x=19 | | y-6(5z-2y)-4z= | | 1/5(10x-3)=4 | | 4f-7=-3 | | 9(-1)-2y=-7 | | 3n+5(3+3n)=141 | | 0.33+4=x-2 | | -22=7x+5-6 | | y=3(-4)+3 | | 2x^2-15x=-28 | | 13x+a=11x+5 | | X+4.9=6.22 | | 1/6x=6-1/12x | | x+15+x+15=6x+10 | | 3w+8=3w-12 | | 14=c/7+8/7 | | -10(0)+y=-5 | | 0.06(x+6)=0.03(2x+9)+0.09 | | -3(x-3y)-2(-5y-6x)= | | (3/5+1/20)^2-(1/10+1/20) | | 18x-2v+3-3x-3v=0 | | -10x+1=-5 | | 13x=32+6x | | x(5x+5)=2x^2-11x+35 | | 3/2z=23 | | x/3=4x/21+6 | | 32x^3-40x^2+24x=0 | | 2+8-3/7=6/7 | | 23+x=27 | | 3/4-16/3 |

Equations solver categories