3(4x+7)-6=2(d+2)-1

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Solution for 3(4x+7)-6=2(d+2)-1 equation:


Simplifying
3(4x + 7) + -6 = 2(d + 2) + -1

Reorder the terms:
3(7 + 4x) + -6 = 2(d + 2) + -1
(7 * 3 + 4x * 3) + -6 = 2(d + 2) + -1
(21 + 12x) + -6 = 2(d + 2) + -1

Reorder the terms:
21 + -6 + 12x = 2(d + 2) + -1

Combine like terms: 21 + -6 = 15
15 + 12x = 2(d + 2) + -1

Reorder the terms:
15 + 12x = 2(2 + d) + -1
15 + 12x = (2 * 2 + d * 2) + -1
15 + 12x = (4 + 2d) + -1

Reorder the terms:
15 + 12x = 4 + -1 + 2d

Combine like terms: 4 + -1 = 3
15 + 12x = 3 + 2d

Solving
15 + 12x = 3 + 2d

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 12x = 3 + -15 + 2d

Combine like terms: 15 + -15 = 0
0 + 12x = 3 + -15 + 2d
12x = 3 + -15 + 2d

Combine like terms: 3 + -15 = -12
12x = -12 + 2d

Divide each side by '12'.
x = -1 + 0.1666666667d

Simplifying
x = -1 + 0.1666666667d

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