60(2z+14)=36(5z)

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Solution for 60(2z+14)=36(5z) equation:


Simplifying
60(2z + 14) = 36(5z)

Reorder the terms:
60(14 + 2z) = 36(5z)
(14 * 60 + 2z * 60) = 36(5z)
(840 + 120z) = 36(5z)

Remove parenthesis around (5z)
840 + 120z = 36 * 5z

Multiply 36 * 5
840 + 120z = 180z

Solving
840 + 120z = 180z

Solving for variable 'z'.

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

Add '-180z' to each side of the equation.
840 + 120z + -180z = 180z + -180z

Combine like terms: 120z + -180z = -60z
840 + -60z = 180z + -180z

Combine like terms: 180z + -180z = 0
840 + -60z = 0

Add '-840' to each side of the equation.
840 + -840 + -60z = 0 + -840

Combine like terms: 840 + -840 = 0
0 + -60z = 0 + -840
-60z = 0 + -840

Combine like terms: 0 + -840 = -840
-60z = -840

Divide each side by '-60'.
z = 14

Simplifying
z = 14

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