-4(q-9)=2(3q-5)-4

Simple and best practice solution for -4(q-9)=2(3q-5)-4 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 -4(q-9)=2(3q-5)-4 equation: 


Simplifying
-4(q + -9) = 2(3q + -5) + -4

Reorder the terms:
-4(-9 + q) = 2(3q + -5) + -4
(-9 * -4 + q * -4) = 2(3q + -5) + -4
(36 + -4q) = 2(3q + -5) + -4

Reorder the terms:
36 + -4q = 2(-5 + 3q) + -4
36 + -4q = (-5 * 2 + 3q * 2) + -4
36 + -4q = (-10 + 6q) + -4

Reorder the terms:
36 + -4q = -10 + -4 + 6q

Combine like terms: -10 + -4 = -14
36 + -4q = -14 + 6q

Solving
36 + -4q = -14 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
36 + -4q + -6q = -14 + 6q + -6q

Combine like terms: -4q + -6q = -10q
36 + -10q = -14 + 6q + -6q

Combine like terms: 6q + -6q = 0
36 + -10q = -14 + 0
36 + -10q = -14

Add '-36' to each side of the equation.
36 + -36 + -10q = -14 + -36

Combine like terms: 36 + -36 = 0
0 + -10q = -14 + -36
-10q = -14 + -36

Combine like terms: -14 + -36 = -50
-10q = -50

Divide each side by '-10'.
q = 5

Simplifying
q = 5

See similar equations:

| 2-x=-3 | | 9x^2+17x+34=0 | | -4x+7+5x=6+x+1 | | -2.5y=-2 | | -1.33m+3=8 | | -0.5u+0.6=0.166 | | -x+6x-4=0 | | 3x-3=-3+3x | | x=3/5 | | 4x+5.5=-22.5 | | 3(x-3)=2x-9 | | 5(0.2x+9)-8(1.2x+6)= | | (6x+6)+80=(15x+5) | | 40k+70=30k+100 | | 2a-1=3a+11 | | 4x+5.5=22.5 | | -5n+6=-9(-3n-4)-2n | | x/4=2 | | n/1.9=-3.8 | | 8x^6-3x^4+19x^3= | | -2(-21-17)= | | 5g+9=2g+18 | | 5x-14.5=-2.5 | | 5x+2=2x+(-10) | | 9b^2-30a^2b+25a^4= | | 6a-2=10 | | 5(c+3)=8(c-3) | | 2(w+72)= | | 3v+3= | | 0.14f-5.5=2.25 | | 24x^2-20x-16=0 | | 2b-2b= |

Equations solver categories