11a-7(a+1)=2(a-4)

Simple and best practice solution for 11a-7(a+1)=2(a-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 11a-7(a+1)=2(a-4) equation:


Simplifying
11a + -7(a + 1) = 2(a + -4)

Reorder the terms:
11a + -7(1 + a) = 2(a + -4)
11a + (1 * -7 + a * -7) = 2(a + -4)
11a + (-7 + -7a) = 2(a + -4)

Reorder the terms:
-7 + 11a + -7a = 2(a + -4)

Combine like terms: 11a + -7a = 4a
-7 + 4a = 2(a + -4)

Reorder the terms:
-7 + 4a = 2(-4 + a)
-7 + 4a = (-4 * 2 + a * 2)
-7 + 4a = (-8 + 2a)

Solving
-7 + 4a = -8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-7 + 4a + -2a = -8 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-7 + 2a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-7 + 2a = -8 + 0
-7 + 2a = -8

Add '7' to each side of the equation.
-7 + 7 + 2a = -8 + 7

Combine like terms: -7 + 7 = 0
0 + 2a = -8 + 7
2a = -8 + 7

Combine like terms: -8 + 7 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5

See similar equations:

| 6=-4x+12 | | 7x^2+10x=0 | | 3/7x+8=11 | | (x/2)+(x/4)=5 | | 12a-7(a+1)=2(a-4) | | x+8=28+7x | | 4-7+x=4 | | 4m^2-28x-49=0 | | 3/7x+8 | | 4m^2-28-49=0 | | -2t+3t^2-8= | | 4=2x+2(x-22) | | -2x-9=15 | | 5x-35=56+12x | | (9a+18)/-3 | | -10x-49=41-4x | | -2(-9)=-24 | | -2/3(7-w)=6 | | 9a+18/-3 | | 2*1+3y=6 | | 2x^3+13x^2+4x-1=0 | | -3y-14=67+13 | | -2(3-4x)=-38 | | (3x^2y+4xy^2+y^3)-(-9x^2y+xy^2+y^3)=0 | | x^2+2=7 | | 5x-9=6x-7 | | f(x)=-2x^2+2x+4 | | 20x-4x^2=0 | | f(x)=-2x^2*2x+4 | | -14x^2+39x-10= | | 2y+30=3y+60 | | y-(-3)=-2/3(x-1) |

Equations solver categories