5(k-5)-4(k+2)-14=-40

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Solution for 5(k-5)-4(k+2)-14=-40 equation: 


Simplifying
5(k + -5) + -4(k + 2) + -14 = -40

Reorder the terms:
5(-5 + k) + -4(k + 2) + -14 = -40
(-5 * 5 + k * 5) + -4(k + 2) + -14 = -40
(-25 + 5k) + -4(k + 2) + -14 = -40

Reorder the terms:
-25 + 5k + -4(2 + k) + -14 = -40
-25 + 5k + (2 * -4 + k * -4) + -14 = -40
-25 + 5k + (-8 + -4k) + -14 = -40

Reorder the terms:
-25 + -8 + -14 + 5k + -4k = -40

Combine like terms: -25 + -8 = -33
-33 + -14 + 5k + -4k = -40

Combine like terms: -33 + -14 = -47
-47 + 5k + -4k = -40

Combine like terms: 5k + -4k = 1k
-47 + 1k = -40

Solving
-47 + 1k = -40

Solving for variable 'k'.

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

Add '47' to each side of the equation.
-47 + 47 + 1k = -40 + 47

Combine like terms: -47 + 47 = 0
0 + 1k = -40 + 47
1k = -40 + 47

Combine like terms: -40 + 47 = 7
1k = 7

Divide each side by '1'.
k = 7

Simplifying
k = 7

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