5(4z-1)-4(z+6)=3(z+1)

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Solution for 5(4z-1)-4(z+6)=3(z+1) equation:


Simplifying
5(4z + -1) + -4(z + 6) = 3(z + 1)

Reorder the terms:
5(-1 + 4z) + -4(z + 6) = 3(z + 1)
(-1 * 5 + 4z * 5) + -4(z + 6) = 3(z + 1)
(-5 + 20z) + -4(z + 6) = 3(z + 1)

Reorder the terms:
-5 + 20z + -4(6 + z) = 3(z + 1)
-5 + 20z + (6 * -4 + z * -4) = 3(z + 1)
-5 + 20z + (-24 + -4z) = 3(z + 1)

Reorder the terms:
-5 + -24 + 20z + -4z = 3(z + 1)

Combine like terms: -5 + -24 = -29
-29 + 20z + -4z = 3(z + 1)

Combine like terms: 20z + -4z = 16z
-29 + 16z = 3(z + 1)

Reorder the terms:
-29 + 16z = 3(1 + z)
-29 + 16z = (1 * 3 + z * 3)
-29 + 16z = (3 + 3z)

Solving
-29 + 16z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-29 + 16z + -3z = 3 + 3z + -3z

Combine like terms: 16z + -3z = 13z
-29 + 13z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-29 + 13z = 3 + 0
-29 + 13z = 3

Add '29' to each side of the equation.
-29 + 29 + 13z = 3 + 29

Combine like terms: -29 + 29 = 0
0 + 13z = 3 + 29
13z = 3 + 29

Combine like terms: 3 + 29 = 32
13z = 32

Divide each side by '13'.
z = 2.461538462

Simplifying
z = 2.461538462

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