5(k-3)-7=3k-(2k-1)

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Solution for 5(k-3)-7=3k-(2k-1) equation:


Simplifying
5(k + -3) + -7 = 3k + -1(2k + -1)

Reorder the terms:
5(-3 + k) + -7 = 3k + -1(2k + -1)
(-3 * 5 + k * 5) + -7 = 3k + -1(2k + -1)
(-15 + 5k) + -7 = 3k + -1(2k + -1)

Reorder the terms:
-15 + -7 + 5k = 3k + -1(2k + -1)

Combine like terms: -15 + -7 = -22
-22 + 5k = 3k + -1(2k + -1)

Reorder the terms:
-22 + 5k = 3k + -1(-1 + 2k)
-22 + 5k = 3k + (-1 * -1 + 2k * -1)
-22 + 5k = 3k + (1 + -2k)

Reorder the terms:
-22 + 5k = 1 + 3k + -2k

Combine like terms: 3k + -2k = 1k
-22 + 5k = 1 + 1k

Solving
-22 + 5k = 1 + 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.
-22 + 5k + -1k = 1 + 1k + -1k

Combine like terms: 5k + -1k = 4k
-22 + 4k = 1 + 1k + -1k

Combine like terms: 1k + -1k = 0
-22 + 4k = 1 + 0
-22 + 4k = 1

Add '22' to each side of the equation.
-22 + 22 + 4k = 1 + 22

Combine like terms: -22 + 22 = 0
0 + 4k = 1 + 22
4k = 1 + 22

Combine like terms: 1 + 22 = 23
4k = 23

Divide each side by '4'.
k = 5.75

Simplifying
k = 5.75

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