5(3k-2k)+10=2k-5

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Solution for 5(3k-2k)+10=2k-5 equation:


Simplifying
5(3k + -2k) + 10 = 2k + -5

Combine like terms: 3k + -2k = 1k
5(1k) + 10 = 2k + -5

Remove parenthesis around (1k)
5 * 1k + 10 = 2k + -5

Multiply 5 * 1
5k + 10 = 2k + -5

Reorder the terms:
10 + 5k = 2k + -5

Reorder the terms:
10 + 5k = -5 + 2k

Solving
10 + 5k = -5 + 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.
10 + 5k + -2k = -5 + 2k + -2k

Combine like terms: 5k + -2k = 3k
10 + 3k = -5 + 2k + -2k

Combine like terms: 2k + -2k = 0
10 + 3k = -5 + 0
10 + 3k = -5

Add '-10' to each side of the equation.
10 + -10 + 3k = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 3k = -5 + -10
3k = -5 + -10

Combine like terms: -5 + -10 = -15
3k = -15

Divide each side by '3'.
k = -5

Simplifying
k = -5

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