6(k-3)-(2k-8)=35

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Solution for 6(k-3)-(2k-8)=35 equation: 


Simplifying
6(k + -3) + -1(2k + -8) = 35

Reorder the terms:
6(-3 + k) + -1(2k + -8) = 35
(-3 * 6 + k * 6) + -1(2k + -8) = 35
(-18 + 6k) + -1(2k + -8) = 35

Reorder the terms:
-18 + 6k + -1(-8 + 2k) = 35
-18 + 6k + (-8 * -1 + 2k * -1) = 35
-18 + 6k + (8 + -2k) = 35

Reorder the terms:
-18 + 8 + 6k + -2k = 35

Combine like terms: -18 + 8 = -10
-10 + 6k + -2k = 35

Combine like terms: 6k + -2k = 4k
-10 + 4k = 35

Solving
-10 + 4k = 35

Solving for variable 'k'.

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

Add '10' to each side of the equation.
-10 + 10 + 4k = 35 + 10

Combine like terms: -10 + 10 = 0
0 + 4k = 35 + 10
4k = 35 + 10

Combine like terms: 35 + 10 = 45
4k = 45

Divide each side by '4'.
k = 11.25

Simplifying
k = 11.25

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