7(z-3)-3(z-8)+4(z+5)=0

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Solution for 7(z-3)-3(z-8)+4(z+5)=0 equation:


Simplifying
7(z + -3) + -3(z + -8) + 4(z + 5) = 0

Reorder the terms:
7(-3 + z) + -3(z + -8) + 4(z + 5) = 0
(-3 * 7 + z * 7) + -3(z + -8) + 4(z + 5) = 0
(-21 + 7z) + -3(z + -8) + 4(z + 5) = 0

Reorder the terms:
-21 + 7z + -3(-8 + z) + 4(z + 5) = 0
-21 + 7z + (-8 * -3 + z * -3) + 4(z + 5) = 0
-21 + 7z + (24 + -3z) + 4(z + 5) = 0

Reorder the terms:
-21 + 7z + 24 + -3z + 4(5 + z) = 0
-21 + 7z + 24 + -3z + (5 * 4 + z * 4) = 0
-21 + 7z + 24 + -3z + (20 + 4z) = 0

Reorder the terms:
-21 + 24 + 20 + 7z + -3z + 4z = 0

Combine like terms: -21 + 24 = 3
3 + 20 + 7z + -3z + 4z = 0

Combine like terms: 3 + 20 = 23
23 + 7z + -3z + 4z = 0

Combine like terms: 7z + -3z = 4z
23 + 4z + 4z = 0

Combine like terms: 4z + 4z = 8z
23 + 8z = 0

Solving
23 + 8z = 0

Solving for variable 'z'.

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

Add '-23' to each side of the equation.
23 + -23 + 8z = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 8z = 0 + -23
8z = 0 + -23

Combine like terms: 0 + -23 = -23
8z = -23

Divide each side by '8'.
z = -2.875

Simplifying
z = -2.875

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