5(4z-1)-3(z+2)=14(z+1)

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Solution for 5(4z-1)-3(z+2)=14(z+1) equation:


Simplifying
5(4z + -1) + -3(z + 2) = 14(z + 1)

Reorder the terms:
5(-1 + 4z) + -3(z + 2) = 14(z + 1)
(-1 * 5 + 4z * 5) + -3(z + 2) = 14(z + 1)
(-5 + 20z) + -3(z + 2) = 14(z + 1)

Reorder the terms:
-5 + 20z + -3(2 + z) = 14(z + 1)
-5 + 20z + (2 * -3 + z * -3) = 14(z + 1)
-5 + 20z + (-6 + -3z) = 14(z + 1)

Reorder the terms:
-5 + -6 + 20z + -3z = 14(z + 1)

Combine like terms: -5 + -6 = -11
-11 + 20z + -3z = 14(z + 1)

Combine like terms: 20z + -3z = 17z
-11 + 17z = 14(z + 1)

Reorder the terms:
-11 + 17z = 14(1 + z)
-11 + 17z = (1 * 14 + z * 14)
-11 + 17z = (14 + 14z)

Solving
-11 + 17z = 14 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
-11 + 17z + -14z = 14 + 14z + -14z

Combine like terms: 17z + -14z = 3z
-11 + 3z = 14 + 14z + -14z

Combine like terms: 14z + -14z = 0
-11 + 3z = 14 + 0
-11 + 3z = 14

Add '11' to each side of the equation.
-11 + 11 + 3z = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 3z = 14 + 11
3z = 14 + 11

Combine like terms: 14 + 11 = 25
3z = 25

Divide each side by '3'.
z = 8.333333333

Simplifying
z = 8.333333333

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