2+3(4x+6)=x+7-(2x-8)

Simple and best practice solution for 2+3(4x+6)=x+7-(2x-8) 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+3(4x+6)=x+7-(2x-8) equation:


Simplifying
2 + 3(4x + 6) = x + 7 + -1(2x + -8)

Reorder the terms:
2 + 3(6 + 4x) = x + 7 + -1(2x + -8)
2 + (6 * 3 + 4x * 3) = x + 7 + -1(2x + -8)
2 + (18 + 12x) = x + 7 + -1(2x + -8)

Combine like terms: 2 + 18 = 20
20 + 12x = x + 7 + -1(2x + -8)

Reorder the terms:
20 + 12x = x + 7 + -1(-8 + 2x)
20 + 12x = x + 7 + (-8 * -1 + 2x * -1)
20 + 12x = x + 7 + (8 + -2x)

Reorder the terms:
20 + 12x = 7 + 8 + x + -2x

Combine like terms: 7 + 8 = 15
20 + 12x = 15 + x + -2x

Combine like terms: x + -2x = -1x
20 + 12x = 15 + -1x

Solving
20 + 12x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + 12x + x = 15 + -1x + x

Combine like terms: 12x + x = 13x
20 + 13x = 15 + -1x + x

Combine like terms: -1x + x = 0
20 + 13x = 15 + 0
20 + 13x = 15

Add '-20' to each side of the equation.
20 + -20 + 13x = 15 + -20

Combine like terms: 20 + -20 = 0
0 + 13x = 15 + -20
13x = 15 + -20

Combine like terms: 15 + -20 = -5
13x = -5

Divide each side by '13'.
x = -0.3846153846

Simplifying
x = -0.3846153846

See similar equations:

| 3D+2C+420=3240 | | (1/6)x+0=700 | | x(x)+(x+13)(x+13)=90000 | | 3.25x+10=350x+200 | | 4ax+bx-28a-7b=0 | | 2(4p+8)-4(p+7)= | | 1/2x+6=7/2x-21 | | 3=-1/3x+2 | | 6(4-y)+8=-8(y-2)-3 | | =800-50x | | 5x-33=2x-3 | | -12x-14y=-20 | | 2X+Y+420=2024 | | X-4=x+15 | | x+15=6-2x | | 4c=32 | | y=3(2)+5 | | 15t-16=8t-9 | | 4x=1-(-15) | | 5h-6/h | | y=3(1)+5 | | 5(4x+13)=70 | | 3t-3=4t-5 | | 3t-3=4t-3 | | 2x+(100/x) | | 13-8x=47-15x | | 108=x^2+x^2 | | 8x+14y=4 | | -12-5=12-8x | | 3x+2820-3X=3240 | | X^2-5x-8= | | 25-3r=31 |

Equations solver categories