2(5-k)=4(3-k)

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Solution for 2(5-k)=4(3-k) equation:


Simplifying
2(5 + -1k) = 4(3 + -1k)
(5 * 2 + -1k * 2) = 4(3 + -1k)
(10 + -2k) = 4(3 + -1k)
10 + -2k = (3 * 4 + -1k * 4)
10 + -2k = (12 + -4k)

Solving
10 + -2k = 12 + -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.
10 + -2k + 4k = 12 + -4k + 4k

Combine like terms: -2k + 4k = 2k
10 + 2k = 12 + -4k + 4k

Combine like terms: -4k + 4k = 0
10 + 2k = 12 + 0
10 + 2k = 12

Add '-10' to each side of the equation.
10 + -10 + 2k = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 2k = 12 + -10
2k = 12 + -10

Combine like terms: 12 + -10 = 2
2k = 2

Divide each side by '2'.
k = 1

Simplifying
k = 1

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