7(x+2)-3(x+1)=5(x-6)-8(2x-6)

Simple and best practice solution for 7(x+2)-3(x+1)=5(x-6)-8(2x-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 7(x+2)-3(x+1)=5(x-6)-8(2x-6) equation: 


Simplifying
7(x + 2) + -3(x + 1) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
7(2 + x) + -3(x + 1) = 5(x + -6) + -8(2x + -6)
(2 * 7 + x * 7) + -3(x + 1) = 5(x + -6) + -8(2x + -6)
(14 + 7x) + -3(x + 1) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
14 + 7x + -3(1 + x) = 5(x + -6) + -8(2x + -6)
14 + 7x + (1 * -3 + x * -3) = 5(x + -6) + -8(2x + -6)
14 + 7x + (-3 + -3x) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
14 + -3 + 7x + -3x = 5(x + -6) + -8(2x + -6)

Combine like terms: 14 + -3 = 11
11 + 7x + -3x = 5(x + -6) + -8(2x + -6)

Combine like terms: 7x + -3x = 4x
11 + 4x = 5(x + -6) + -8(2x + -6)

Reorder the terms:
11 + 4x = 5(-6 + x) + -8(2x + -6)
11 + 4x = (-6 * 5 + x * 5) + -8(2x + -6)
11 + 4x = (-30 + 5x) + -8(2x + -6)

Reorder the terms:
11 + 4x = -30 + 5x + -8(-6 + 2x)
11 + 4x = -30 + 5x + (-6 * -8 + 2x * -8)
11 + 4x = -30 + 5x + (48 + -16x)

Reorder the terms:
11 + 4x = -30 + 48 + 5x + -16x

Combine like terms: -30 + 48 = 18
11 + 4x = 18 + 5x + -16x

Combine like terms: 5x + -16x = -11x
11 + 4x = 18 + -11x

Solving
11 + 4x = 18 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
11 + 4x + 11x = 18 + -11x + 11x

Combine like terms: 4x + 11x = 15x
11 + 15x = 18 + -11x + 11x

Combine like terms: -11x + 11x = 0
11 + 15x = 18 + 0
11 + 15x = 18

Add '-11' to each side of the equation.
11 + -11 + 15x = 18 + -11

Combine like terms: 11 + -11 = 0
0 + 15x = 18 + -11
15x = 18 + -11

Combine like terms: 18 + -11 = 7
15x = 7

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

See similar equations:

| 3g+7=-6-56 | | 30+1.95x=7.95x | | ln(-2x)=7 | | -5+32x^2-24x^2+44=6x | | x*9+12=x*4+162 | | 25-x-19=26-5x-6x | | 7x^7-56x^6+42x^5= | | 165-7x=20x+15 | | 10-10x=118-38x | | 2x-x+8x= | | 179-5x=6x+14 | | 9(x-3)+8(x+6)=4(8-7x) | | 0.1(x+100)+0.1x=1 | | -1*[-2]=x | | -36-2x+9x=3x+12 | | 5(t-2)-3t=4(2+4)-9 | | 4(2x+9)=20 | | 8a^2+4a= | | 9+n=2n-4 | | 9-10x=94-45x | | (x+2)(2x-3)=0 | | 4x-11x+7=4 | | 5(x+2)+x=3(x-1)+1 | | 24+0.99x=1.49x | | 4(v-3)-6v=-2(v+6) | | 15=-8(c-1)+9 | | x^6-9x^3+20=0 | | 4(v-3)-6v=2(v+6) | | 5(2+y)-y=10+4(y+1) | | 8(2x+3)=56 | | 4x^3+22x^2+52x=0 | | 7(2k-1)+4=7 |

Equations solver categories