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

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


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

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

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

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

Combine like terms: -18 + 8 = -10
-10 + 6x + 4x = 3(4x + -7)

Combine like terms: 6x + 4x = 10x
-10 + 10x = 3(4x + -7)

Reorder the terms:
-10 + 10x = 3(-7 + 4x)
-10 + 10x = (-7 * 3 + 4x * 3)
-10 + 10x = (-21 + 12x)

Solving
-10 + 10x = -21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 10x + -12x = -21 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-10 + -2x = -21 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -2x = -21 + 0
-10 + -2x = -21

Add '10' to each side of the equation.
-10 + 10 + -2x = -21 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -21 + 10
-2x = -21 + 10

Combine like terms: -21 + 10 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

See similar equations:

| vf=127+(21)(23.4) | | tan4/100/x | | 13x-9=3x+29 | | 2x+30=60+60 | | 3(4x+7)=27 | | x-5-10=9+2x-7 | | 6(u+3)=-2(3u-8)+6u | | (1/2)=(b/4)^(1/4) | | 4x^3+12x^2-11x-3=0 | | 3(x+8)-2(x+5)=35 | | 2x=9y-22 | | 6x+33=13x-9 | | (2x^3)-2y-10x+2=0 | | 2x=5(x-15) | | -69+36= | | 9x+6=7x+7 | | 2n-2=4n-6 | | 3u-8=49 | | -2(3y-9)-y=-2(y-3) | | 1/4(4x-48)=4x | | 5(h+7)=50 | | Sin(8x)+sin(4x)-cos(2x)=0 | | 87/105 | | (6-5x^2)(x^4-x^3)=0 | | 7(y-8)+24=x(7-6) | | 7(y+5)=77 | | .88=ln(y) | | 84=4(s+14) | | A=-4x*(x+3)+3x*(x+4) | | -7u+4(u+5)=-1 | | 5x-30+3=18-3-2x | | 9x+2=5x+11 |

Equations solver categories