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

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

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

Reorder the terms:
2(-5 + 2k) + -3(5k + 2) = 3 + -2(k + 2)
(-5 * 2 + 2k * 2) + -3(5k + 2) = 3 + -2(k + 2)
(-10 + 4k) + -3(5k + 2) = 3 + -2(k + 2)

Reorder the terms:
-10 + 4k + -3(2 + 5k) = 3 + -2(k + 2)
-10 + 4k + (2 * -3 + 5k * -3) = 3 + -2(k + 2)
-10 + 4k + (-6 + -15k) = 3 + -2(k + 2)

Reorder the terms:
-10 + -6 + 4k + -15k = 3 + -2(k + 2)

Combine like terms: -10 + -6 = -16
-16 + 4k + -15k = 3 + -2(k + 2)

Combine like terms: 4k + -15k = -11k
-16 + -11k = 3 + -2(k + 2)

Reorder the terms:
-16 + -11k = 3 + -2(2 + k)
-16 + -11k = 3 + (2 * -2 + k * -2)
-16 + -11k = 3 + (-4 + -2k)

Combine like terms: 3 + -4 = -1
-16 + -11k = -1 + -2k

Solving
-16 + -11k = -1 + -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.
-16 + -11k + 2k = -1 + -2k + 2k

Combine like terms: -11k + 2k = -9k
-16 + -9k = -1 + -2k + 2k

Combine like terms: -2k + 2k = 0
-16 + -9k = -1 + 0
-16 + -9k = -1

Add '16' to each side of the equation.
-16 + 16 + -9k = -1 + 16

Combine like terms: -16 + 16 = 0
0 + -9k = -1 + 16
-9k = -1 + 16

Combine like terms: -1 + 16 = 15
-9k = 15

Divide each side by '-9'.
k = -1.666666667

Simplifying
k = -1.666666667