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

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


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

Reorder the terms:
2(-1 + 6z) + -5(z + 7) = 4(z + 1)
(-1 * 2 + 6z * 2) + -5(z + 7) = 4(z + 1)
(-2 + 12z) + -5(z + 7) = 4(z + 1)

Reorder the terms:
-2 + 12z + -5(7 + z) = 4(z + 1)
-2 + 12z + (7 * -5 + z * -5) = 4(z + 1)
-2 + 12z + (-35 + -5z) = 4(z + 1)

Reorder the terms:
-2 + -35 + 12z + -5z = 4(z + 1)

Combine like terms: -2 + -35 = -37
-37 + 12z + -5z = 4(z + 1)

Combine like terms: 12z + -5z = 7z
-37 + 7z = 4(z + 1)

Reorder the terms:
-37 + 7z = 4(1 + z)
-37 + 7z = (1 * 4 + z * 4)
-37 + 7z = (4 + 4z)

Solving
-37 + 7z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-37 + 7z + -4z = 4 + 4z + -4z

Combine like terms: 7z + -4z = 3z
-37 + 3z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-37 + 3z = 4 + 0
-37 + 3z = 4

Add '37' to each side of the equation.
-37 + 37 + 3z = 4 + 37

Combine like terms: -37 + 37 = 0
0 + 3z = 4 + 37
3z = 4 + 37

Combine like terms: 4 + 37 = 41
3z = 41

Divide each side by '3'.
z = 13.66666667

Simplifying
z = 13.66666667

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