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

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


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

Reorder the terms:
2(-6 + 5z) = 4(2z + 1)
(-6 * 2 + 5z * 2) = 4(2z + 1)
(-12 + 10z) = 4(2z + 1)

Reorder the terms:
-12 + 10z = 4(1 + 2z)
-12 + 10z = (1 * 4 + 2z * 4)
-12 + 10z = (4 + 8z)

Solving
-12 + 10z = 4 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-12 + 10z + -8z = 4 + 8z + -8z

Combine like terms: 10z + -8z = 2z
-12 + 2z = 4 + 8z + -8z

Combine like terms: 8z + -8z = 0
-12 + 2z = 4 + 0
-12 + 2z = 4

Add '12' to each side of the equation.
-12 + 12 + 2z = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 2z = 4 + 12
2z = 4 + 12

Combine like terms: 4 + 12 = 16
2z = 16

Divide each side by '2'.
z = 8

Simplifying
z = 8

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