5(3x+7)-1=3(5x+k)

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


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

Reorder the terms:
5(7 + 3x) + -1 = 3(5x + k)
(7 * 5 + 3x * 5) + -1 = 3(5x + k)
(35 + 15x) + -1 = 3(5x + k)

Reorder the terms:
35 + -1 + 15x = 3(5x + k)

Combine like terms: 35 + -1 = 34
34 + 15x = 3(5x + k)

Reorder the terms:
34 + 15x = 3(k + 5x)
34 + 15x = (k * 3 + 5x * 3)
34 + 15x = (3k + 15x)

Add '-15x' to each side of the equation.
34 + 15x + -15x = 3k + 15x + -15x

Combine like terms: 15x + -15x = 0
34 + 0 = 3k + 15x + -15x
34 = 3k + 15x + -15x

Combine like terms: 15x + -15x = 0
34 = 3k + 0
34 = 3k

Solving
34 = 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
34 + -3k = 3k + -3k

Combine like terms: 3k + -3k = 0
34 + -3k = 0

Add '-34' to each side of the equation.
34 + -34 + -3k = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -3k = 0 + -34
-3k = 0 + -34

Combine like terms: 0 + -34 = -34
-3k = -34

Divide each side by '-3'.
k = 11.33333333

Simplifying
k = 11.33333333

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