3(2z-5)=2(z+10)

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Solution for 3(2z-5)=2(z+10) equation:


Simplifying
3(2z + -5) = 2(z + 10)

Reorder the terms:
3(-5 + 2z) = 2(z + 10)
(-5 * 3 + 2z * 3) = 2(z + 10)
(-15 + 6z) = 2(z + 10)

Reorder the terms:
-15 + 6z = 2(10 + z)
-15 + 6z = (10 * 2 + z * 2)
-15 + 6z = (20 + 2z)

Solving
-15 + 6z = 20 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-15 + 6z + -2z = 20 + 2z + -2z

Combine like terms: 6z + -2z = 4z
-15 + 4z = 20 + 2z + -2z

Combine like terms: 2z + -2z = 0
-15 + 4z = 20 + 0
-15 + 4z = 20

Add '15' to each side of the equation.
-15 + 15 + 4z = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 4z = 20 + 15
4z = 20 + 15

Combine like terms: 20 + 15 = 35
4z = 35

Divide each side by '4'.
z = 8.75

Simplifying
z = 8.75

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