8(z-5)-(-6z-5)=13z

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Solution for 8(z-5)-(-6z-5)=13z equation:


Simplifying
8(z + -5) + -1(-6z + -5) = 13z

Reorder the terms:
8(-5 + z) + -1(-6z + -5) = 13z
(-5 * 8 + z * 8) + -1(-6z + -5) = 13z
(-40 + 8z) + -1(-6z + -5) = 13z

Reorder the terms:
-40 + 8z + -1(-5 + -6z) = 13z
-40 + 8z + (-5 * -1 + -6z * -1) = 13z
-40 + 8z + (5 + 6z) = 13z

Reorder the terms:
-40 + 5 + 8z + 6z = 13z

Combine like terms: -40 + 5 = -35
-35 + 8z + 6z = 13z

Combine like terms: 8z + 6z = 14z
-35 + 14z = 13z

Solving
-35 + 14z = 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-35 + 14z + -13z = 13z + -13z

Combine like terms: 14z + -13z = 1z
-35 + 1z = 13z + -13z

Combine like terms: 13z + -13z = 0
-35 + 1z = 0

Add '35' to each side of the equation.
-35 + 35 + 1z = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 1z = 0 + 35
1z = 0 + 35

Combine like terms: 0 + 35 = 35
1z = 35

Divide each side by '1'.
z = 35

Simplifying
z = 35

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