5(6z-1)-2(z+4)=26(z+1)

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Solution for 5(6z-1)-2(z+4)=26(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 4) = 26(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 4) = 26(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 4) = 26(z + 1)
(-5 + 30z) + -2(z + 4) = 26(z + 1)

Reorder the terms:
-5 + 30z + -2(4 + z) = 26(z + 1)
-5 + 30z + (4 * -2 + z * -2) = 26(z + 1)
-5 + 30z + (-8 + -2z) = 26(z + 1)

Reorder the terms:
-5 + -8 + 30z + -2z = 26(z + 1)

Combine like terms: -5 + -8 = -13
-13 + 30z + -2z = 26(z + 1)

Combine like terms: 30z + -2z = 28z
-13 + 28z = 26(z + 1)

Reorder the terms:
-13 + 28z = 26(1 + z)
-13 + 28z = (1 * 26 + z * 26)
-13 + 28z = (26 + 26z)

Solving
-13 + 28z = 26 + 26z

Solving for variable 'z'.

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

Add '-26z' to each side of the equation.
-13 + 28z + -26z = 26 + 26z + -26z

Combine like terms: 28z + -26z = 2z
-13 + 2z = 26 + 26z + -26z

Combine like terms: 26z + -26z = 0
-13 + 2z = 26 + 0
-13 + 2z = 26

Add '13' to each side of the equation.
-13 + 13 + 2z = 26 + 13

Combine like terms: -13 + 13 = 0
0 + 2z = 26 + 13
2z = 26 + 13

Combine like terms: 26 + 13 = 39
2z = 39

Divide each side by '2'.
z = 19.5

Simplifying
z = 19.5

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