5(7-a)-3(a+4)-4=4(a-3)+7

Simple and best practice solution for 5(7-a)-3(a+4)-4=4(a-3)+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 5(7-a)-3(a+4)-4=4(a-3)+7 equation:


Simplifying
5(7 + -1a) + -3(a + 4) + -4 = 4(a + -3) + 7
(7 * 5 + -1a * 5) + -3(a + 4) + -4 = 4(a + -3) + 7
(35 + -5a) + -3(a + 4) + -4 = 4(a + -3) + 7

Reorder the terms:
35 + -5a + -3(4 + a) + -4 = 4(a + -3) + 7
35 + -5a + (4 * -3 + a * -3) + -4 = 4(a + -3) + 7
35 + -5a + (-12 + -3a) + -4 = 4(a + -3) + 7

Reorder the terms:
35 + -12 + -4 + -5a + -3a = 4(a + -3) + 7

Combine like terms: 35 + -12 = 23
23 + -4 + -5a + -3a = 4(a + -3) + 7

Combine like terms: 23 + -4 = 19
19 + -5a + -3a = 4(a + -3) + 7

Combine like terms: -5a + -3a = -8a
19 + -8a = 4(a + -3) + 7

Reorder the terms:
19 + -8a = 4(-3 + a) + 7
19 + -8a = (-3 * 4 + a * 4) + 7
19 + -8a = (-12 + 4a) + 7

Reorder the terms:
19 + -8a = -12 + 7 + 4a

Combine like terms: -12 + 7 = -5
19 + -8a = -5 + 4a

Solving
19 + -8a = -5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
19 + -8a + -4a = -5 + 4a + -4a

Combine like terms: -8a + -4a = -12a
19 + -12a = -5 + 4a + -4a

Combine like terms: 4a + -4a = 0
19 + -12a = -5 + 0
19 + -12a = -5

Add '-19' to each side of the equation.
19 + -19 + -12a = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -12a = -5 + -19
-12a = -5 + -19

Combine like terms: -5 + -19 = -24
-12a = -24

Divide each side by '-12'.
a = 2

Simplifying
a = 2

See similar equations:

| 5m^2n(m^2-3m+1)= | | x^3+9x^2+8x-60=0 | | 27x^2-9x-6=0 | | 9x+5=7x+39 | | 6(9n-7)= | | -51=k*5 | | 7x+5y-3x-8y= | | 3y-3=10y+46 | | 4=m+5 | | 12x^2-4x-8=0 | | 10x-13y= | | f=7gh | | (x+1)(x+5)=-3 | | 5x^2+4x+3=0 | | 2t+8-3= | | 3x^2-x+14=0 | | 3c^2+10c+8=0 | | 4r+3-x= | | 5(y+3)=60 | | 4x(x+7)=-49 | | 6x-(4x-6)=20 | | 2x^2*5=100000 | | 2x^2*5=10000 | | 2x^2*5=100 | | x+8=10x | | 2x^2*5=9 | | p-12=-20 | | r-8=56 | | 6*n=12 | | b(b-5)=14 | | 5(x+5)=7*5x | | 378.55=1.5(m+h) |

Equations solver categories