2(3k+58)=4(k+810)

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Solution for 2(3k+58)=4(k+810) equation: 


Simplifying
2(3k + 58) = 4(k + 810)

Reorder the terms:
2(58 + 3k) = 4(k + 810)
(58 * 2 + 3k * 2) = 4(k + 810)
(116 + 6k) = 4(k + 810)

Reorder the terms:
116 + 6k = 4(810 + k)
116 + 6k = (810 * 4 + k * 4)
116 + 6k = (3240 + 4k)

Solving
116 + 6k = 3240 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
116 + 6k + -4k = 3240 + 4k + -4k

Combine like terms: 6k + -4k = 2k
116 + 2k = 3240 + 4k + -4k

Combine like terms: 4k + -4k = 0
116 + 2k = 3240 + 0
116 + 2k = 3240

Add '-116' to each side of the equation.
116 + -116 + 2k = 3240 + -116

Combine like terms: 116 + -116 = 0
0 + 2k = 3240 + -116
2k = 3240 + -116

Combine like terms: 3240 + -116 = 3124
2k = 3124

Divide each side by '2'.
k = 1562

Simplifying
k = 1562

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