7(a-5)=4(a+8)

Simple and best practice solution for 7(a-5)=4(a+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 7(a-5)=4(a+8) equation:


Simplifying
7(a + -5) = 4(a + 8)

Reorder the terms:
7(-5 + a) = 4(a + 8)
(-5 * 7 + a * 7) = 4(a + 8)
(-35 + 7a) = 4(a + 8)

Reorder the terms:
-35 + 7a = 4(8 + a)
-35 + 7a = (8 * 4 + a * 4)
-35 + 7a = (32 + 4a)

Solving
-35 + 7a = 32 + 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.
-35 + 7a + -4a = 32 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-35 + 3a = 32 + 4a + -4a

Combine like terms: 4a + -4a = 0
-35 + 3a = 32 + 0
-35 + 3a = 32

Add '35' to each side of the equation.
-35 + 35 + 3a = 32 + 35

Combine like terms: -35 + 35 = 0
0 + 3a = 32 + 35
3a = 32 + 35

Combine like terms: 32 + 35 = 67
3a = 67

Divide each side by '3'.
a = 22.33333333

Simplifying
a = 22.33333333

See similar equations:

| 5+15s-4=9s+13-6s | | 5+10s-8s=x | | -7b+9=-9b-5 | | 3^5/64 | | p^2-16p=-82 | | -2x+9(6x-2)=9(-11x-2) | | 3y+30+x+5=180 | | z=100-80/10 | | y/8+12=80 | | 39+21y-5y=-10 | | (773/4)-(91/2) | | 2(2+7+3+7)= | | 3x^2+19+7=1 | | 15-4u=-4u-16 | | 773/4-91/2 | | 7x-(5x+4)=4x-20 | | f(-x)=8x+5 | | -19+5q=6q | | -9*1-7y=63 | | -10-7f=8-9f | | V^2-5=-8-2v^2 | | 4(2x-9)=4x-1+3x | | 1.2(1+7.8n)-0.1(6.1n+7.8)=1.2+5.8n+5.8n+2.4 | | 4g+3(-3+2g)=1-g | | 9-4w=-4w+7 | | -11t=-18-8t | | 4v=4-5v | | (x+5)=8x+5 | | 6(9y-4)-[3(4y-3)+5]= | | -2j+2j=0 | | 3(x-4)+5=-4 | | 8(x+5)=5(x-13) |

Equations solver categories