3(x-4)-7(x+4)=-2(x+12)

Simple and best practice solution for 3(x-4)-7(x+4)=-2(x+12) 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(x-4)-7(x+4)=-2(x+12) equation:


Simplifying
3(x + -4) + -7(x + 4) = -2(x + 12)

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

Reorder the terms:
-12 + 3x + -7(4 + x) = -2(x + 12)
-12 + 3x + (4 * -7 + x * -7) = -2(x + 12)
-12 + 3x + (-28 + -7x) = -2(x + 12)

Reorder the terms:
-12 + -28 + 3x + -7x = -2(x + 12)

Combine like terms: -12 + -28 = -40
-40 + 3x + -7x = -2(x + 12)

Combine like terms: 3x + -7x = -4x
-40 + -4x = -2(x + 12)

Reorder the terms:
-40 + -4x = -2(12 + x)
-40 + -4x = (12 * -2 + x * -2)
-40 + -4x = (-24 + -2x)

Solving
-40 + -4x = -24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-40 + -4x + 2x = -24 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-40 + -2x = -24 + -2x + 2x

Combine like terms: -2x + 2x = 0
-40 + -2x = -24 + 0
-40 + -2x = -24

Add '40' to each side of the equation.
-40 + 40 + -2x = -24 + 40

Combine like terms: -40 + 40 = 0
0 + -2x = -24 + 40
-2x = -24 + 40

Combine like terms: -24 + 40 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

See similar equations:

| 9/19*2/4 | | (5*-6)+30=y | | abs(z-5-3i)=3 | | 3x-2(x-6)=-14 | | 4r+(-13)=-57 | | x-2-3x=8x+8-8x | | 60/-12=-12X/-12 | | x^3-3x^2+2=k | | 32=.67x-34 | | 4(x-5)=3-(x+3)-4 | | -8=1x-x | | 180-((2*75)+(30))=y | | -6(2a-4)=3(-5a+4) | | 180-(2*75+30)=y | | X-(-15)=24 | | n+(-7)=(-77) | | y=5-3x^2+2x | | 2.49(x)+1.19(y)=4508.50 | | .15+x+2.95=.20+x | | 2+6x=7+2x | | n^2-8n-4=-4 | | u/-9-8== | | 134455566778+0= | | 29x+3y=-19 | | (3/5)k=4 | | 21-2x=11+8x | | (2x+30)+(75)= | | 7(x-4)=11-(x+3)+2 | | 4(x+3)=-8(-2x+6) | | (2x+30)+(y)= | | 44x+2(x+8)=34 | | .03+.42x=.10x |

Equations solver categories