7(4z-1)+6=3(2z+5)

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Solution for 7(4z-1)+6=3(2z+5) equation:


Simplifying
7(4z + -1) + 6 = 3(2z + 5)

Reorder the terms:
7(-1 + 4z) + 6 = 3(2z + 5)
(-1 * 7 + 4z * 7) + 6 = 3(2z + 5)
(-7 + 28z) + 6 = 3(2z + 5)

Reorder the terms:
-7 + 6 + 28z = 3(2z + 5)

Combine like terms: -7 + 6 = -1
-1 + 28z = 3(2z + 5)

Reorder the terms:
-1 + 28z = 3(5 + 2z)
-1 + 28z = (5 * 3 + 2z * 3)
-1 + 28z = (15 + 6z)

Solving
-1 + 28z = 15 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-1 + 28z + -6z = 15 + 6z + -6z

Combine like terms: 28z + -6z = 22z
-1 + 22z = 15 + 6z + -6z

Combine like terms: 6z + -6z = 0
-1 + 22z = 15 + 0
-1 + 22z = 15

Add '1' to each side of the equation.
-1 + 1 + 22z = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 22z = 15 + 1
22z = 15 + 1

Combine like terms: 15 + 1 = 16
22z = 16

Divide each side by '22'.
z = 0.7272727273

Simplifying
z = 0.7272727273

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