3(6z-1)-4(z+7)=10(z+1)

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Solution for 3(6z-1)-4(z+7)=10(z+1) equation:


Simplifying
3(6z + -1) + -4(z + 7) = 10(z + 1)

Reorder the terms:
3(-1 + 6z) + -4(z + 7) = 10(z + 1)
(-1 * 3 + 6z * 3) + -4(z + 7) = 10(z + 1)
(-3 + 18z) + -4(z + 7) = 10(z + 1)

Reorder the terms:
-3 + 18z + -4(7 + z) = 10(z + 1)
-3 + 18z + (7 * -4 + z * -4) = 10(z + 1)
-3 + 18z + (-28 + -4z) = 10(z + 1)

Reorder the terms:
-3 + -28 + 18z + -4z = 10(z + 1)

Combine like terms: -3 + -28 = -31
-31 + 18z + -4z = 10(z + 1)

Combine like terms: 18z + -4z = 14z
-31 + 14z = 10(z + 1)

Reorder the terms:
-31 + 14z = 10(1 + z)
-31 + 14z = (1 * 10 + z * 10)
-31 + 14z = (10 + 10z)

Solving
-31 + 14z = 10 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-31 + 14z + -10z = 10 + 10z + -10z

Combine like terms: 14z + -10z = 4z
-31 + 4z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-31 + 4z = 10 + 0
-31 + 4z = 10

Add '31' to each side of the equation.
-31 + 31 + 4z = 10 + 31

Combine like terms: -31 + 31 = 0
0 + 4z = 10 + 31
4z = 10 + 31

Combine like terms: 10 + 31 = 41
4z = 41

Divide each side by '4'.
z = 10.25

Simplifying
z = 10.25

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