2(z-3)-5=3(z-8)

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Solution for 2(z-3)-5=3(z-8) equation:


Simplifying
2(z + -3) + -5 = 3(z + -8)

Reorder the terms:
2(-3 + z) + -5 = 3(z + -8)
(-3 * 2 + z * 2) + -5 = 3(z + -8)
(-6 + 2z) + -5 = 3(z + -8)

Reorder the terms:
-6 + -5 + 2z = 3(z + -8)

Combine like terms: -6 + -5 = -11
-11 + 2z = 3(z + -8)

Reorder the terms:
-11 + 2z = 3(-8 + z)
-11 + 2z = (-8 * 3 + z * 3)
-11 + 2z = (-24 + 3z)

Solving
-11 + 2z = -24 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-11 + 2z + -3z = -24 + 3z + -3z

Combine like terms: 2z + -3z = -1z
-11 + -1z = -24 + 3z + -3z

Combine like terms: 3z + -3z = 0
-11 + -1z = -24 + 0
-11 + -1z = -24

Add '11' to each side of the equation.
-11 + 11 + -1z = -24 + 11

Combine like terms: -11 + 11 = 0
0 + -1z = -24 + 11
-1z = -24 + 11

Combine like terms: -24 + 11 = -13
-1z = -13

Divide each side by '-1'.
z = 13

Simplifying
z = 13

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