3(4z+900)=7(z+10100)

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Solution for 3(4z+900)=7(z+10100) equation: 


Simplifying
3(4z + 900) = 7(z + 10100)

Reorder the terms:
3(900 + 4z) = 7(z + 10100)
(900 * 3 + 4z * 3) = 7(z + 10100)
(2700 + 12z) = 7(z + 10100)

Reorder the terms:
2700 + 12z = 7(10100 + z)
2700 + 12z = (10100 * 7 + z * 7)
2700 + 12z = (70700 + 7z)

Solving
2700 + 12z = 70700 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
2700 + 12z + -7z = 70700 + 7z + -7z

Combine like terms: 12z + -7z = 5z
2700 + 5z = 70700 + 7z + -7z

Combine like terms: 7z + -7z = 0
2700 + 5z = 70700 + 0
2700 + 5z = 70700

Add '-2700' to each side of the equation.
2700 + -2700 + 5z = 70700 + -2700

Combine like terms: 2700 + -2700 = 0
0 + 5z = 70700 + -2700
5z = 70700 + -2700

Combine like terms: 70700 + -2700 = 68000
5z = 68000

Divide each side by '5'.
z = 13600

Simplifying
z = 13600

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