49(k-2)-8=6k-(5k-2)

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Solution for 49(k-2)-8=6k-(5k-2) equation:


Simplifying
49(k + -2) + -8 = 6k + -1(5k + -2)

Reorder the terms:
49(-2 + k) + -8 = 6k + -1(5k + -2)
(-2 * 49 + k * 49) + -8 = 6k + -1(5k + -2)
(-98 + 49k) + -8 = 6k + -1(5k + -2)

Reorder the terms:
-98 + -8 + 49k = 6k + -1(5k + -2)

Combine like terms: -98 + -8 = -106
-106 + 49k = 6k + -1(5k + -2)

Reorder the terms:
-106 + 49k = 6k + -1(-2 + 5k)
-106 + 49k = 6k + (-2 * -1 + 5k * -1)
-106 + 49k = 6k + (2 + -5k)

Reorder the terms:
-106 + 49k = 2 + 6k + -5k

Combine like terms: 6k + -5k = 1k
-106 + 49k = 2 + 1k

Solving
-106 + 49k = 2 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-106 + 49k + -1k = 2 + 1k + -1k

Combine like terms: 49k + -1k = 48k
-106 + 48k = 2 + 1k + -1k

Combine like terms: 1k + -1k = 0
-106 + 48k = 2 + 0
-106 + 48k = 2

Add '106' to each side of the equation.
-106 + 106 + 48k = 2 + 106

Combine like terms: -106 + 106 = 0
0 + 48k = 2 + 106
48k = 2 + 106

Combine like terms: 2 + 106 = 108
48k = 108

Divide each side by '48'.
k = 2.25

Simplifying
k = 2.25

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