(3x+7)-1=3(5x+k)+4

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


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

Reorder the terms:
(7 + 3x) + -1 = 3(5x + k) + 4

Remove parenthesis around (7 + 3x)
7 + 3x + -1 = 3(5x + k) + 4

Reorder the terms:
7 + -1 + 3x = 3(5x + k) + 4

Combine like terms: 7 + -1 = 6
6 + 3x = 3(5x + k) + 4

Reorder the terms:
6 + 3x = 3(k + 5x) + 4
6 + 3x = (k * 3 + 5x * 3) + 4
6 + 3x = (3k + 15x) + 4

Reorder the terms:
6 + 3x = 4 + 3k + 15x

Solving
6 + 3x = 4 + 3k + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 3x + -15x = 4 + 3k + 15x + -15x

Combine like terms: 3x + -15x = -12x
6 + -12x = 4 + 3k + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -12x = 4 + 3k + 0
6 + -12x = 4 + 3k

Add '-6' to each side of the equation.
6 + -6 + -12x = 4 + -6 + 3k

Combine like terms: 6 + -6 = 0
0 + -12x = 4 + -6 + 3k
-12x = 4 + -6 + 3k

Combine like terms: 4 + -6 = -2
-12x = -2 + 3k

Divide each side by '-12'.
x = 0.1666666667 + -0.25k

Simplifying
x = 0.1666666667 + -0.25k

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