7(3k+2)-4(5k-1)=19

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Solution for 7(3k+2)-4(5k-1)=19 equation:


Simplifying
7(3k + 2) + -4(5k + -1) = 19

Reorder the terms:
7(2 + 3k) + -4(5k + -1) = 19
(2 * 7 + 3k * 7) + -4(5k + -1) = 19
(14 + 21k) + -4(5k + -1) = 19

Reorder the terms:
14 + 21k + -4(-1 + 5k) = 19
14 + 21k + (-1 * -4 + 5k * -4) = 19
14 + 21k + (4 + -20k) = 19

Reorder the terms:
14 + 4 + 21k + -20k = 19

Combine like terms: 14 + 4 = 18
18 + 21k + -20k = 19

Combine like terms: 21k + -20k = 1k
18 + 1k = 19

Solving
18 + 1k = 19

Solving for variable 'k'.

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

Add '-18' to each side of the equation.
18 + -18 + 1k = 19 + -18

Combine like terms: 18 + -18 = 0
0 + 1k = 19 + -18
1k = 19 + -18

Combine like terms: 19 + -18 = 1
1k = 1

Divide each side by '1'.
k = 1

Simplifying
k = 1

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