(4k-7)=(2k+3)

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Solution for (4k-7)=(2k+3) equation:


Simplifying
(4k + -7) = (2k + 3)

Reorder the terms:
(-7 + 4k) = (2k + 3)

Remove parenthesis around (-7 + 4k)
-7 + 4k = (2k + 3)

Reorder the terms:
-7 + 4k = (3 + 2k)

Remove parenthesis around (3 + 2k)
-7 + 4k = 3 + 2k

Solving
-7 + 4k = 3 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-7 + 4k + -2k = 3 + 2k + -2k

Combine like terms: 4k + -2k = 2k
-7 + 2k = 3 + 2k + -2k

Combine like terms: 2k + -2k = 0
-7 + 2k = 3 + 0
-7 + 2k = 3

Add '7' to each side of the equation.
-7 + 7 + 2k = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 2k = 3 + 7
2k = 3 + 7

Combine like terms: 3 + 7 = 10
2k = 10

Divide each side by '2'.
k = 5

Simplifying
k = 5

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