z+3(z-7)=10

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Solution for z+3(z-7)=10 equation:


Simplifying
z + 3(z + -7) = 10

Reorder the terms:
z + 3(-7 + z) = 10
z + (-7 * 3 + z * 3) = 10
z + (-21 + 3z) = 10

Reorder the terms:
-21 + z + 3z = 10

Combine like terms: z + 3z = 4z
-21 + 4z = 10

Solving
-21 + 4z = 10

Solving for variable 'z'.

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

Add '21' to each side of the equation.
-21 + 21 + 4z = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 4z = 10 + 21
4z = 10 + 21

Combine like terms: 10 + 21 = 31
4z = 31

Divide each side by '4'.
z = 7.75

Simplifying
z = 7.75

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