7(z+11)=4(z+38)

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Solution for 7(z+11)=4(z+38) equation:


Simplifying
7(z + 11) = 4(z + 38)

Reorder the terms:
7(11 + z) = 4(z + 38)
(11 * 7 + z * 7) = 4(z + 38)
(77 + 7z) = 4(z + 38)

Reorder the terms:
77 + 7z = 4(38 + z)
77 + 7z = (38 * 4 + z * 4)
77 + 7z = (152 + 4z)

Solving
77 + 7z = 152 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
77 + 7z + -4z = 152 + 4z + -4z

Combine like terms: 7z + -4z = 3z
77 + 3z = 152 + 4z + -4z

Combine like terms: 4z + -4z = 0
77 + 3z = 152 + 0
77 + 3z = 152

Add '-77' to each side of the equation.
77 + -77 + 3z = 152 + -77

Combine like terms: 77 + -77 = 0
0 + 3z = 152 + -77
3z = 152 + -77

Combine like terms: 152 + -77 = 75
3z = 75

Divide each side by '3'.
z = 25

Simplifying
z = 25

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