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

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


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

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

Reorder the terms:
6 + 12X + 7x = 3(4x + 3) + -1

Reorder the terms:
6 + 12X + 7x = 3(3 + 4x) + -1
6 + 12X + 7x = (3 * 3 + 4x * 3) + -1
6 + 12X + 7x = (9 + 12x) + -1

Reorder the terms:
6 + 12X + 7x = 9 + -1 + 12x

Combine like terms: 9 + -1 = 8
6 + 12X + 7x = 8 + 12x

Solving
6 + 12X + 7x = 8 + 12x

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 12X + -6 + 7x = 8 + -6 + 12x

Reorder the terms:
6 + -6 + 12X + 7x = 8 + -6 + 12x

Combine like terms: 6 + -6 = 0
0 + 12X + 7x = 8 + -6 + 12x
12X + 7x = 8 + -6 + 12x

Combine like terms: 8 + -6 = 2
12X + 7x = 2 + 12x

Add '-7x' to each side of the equation.
12X + 7x + -7x = 2 + 12x + -7x

Combine like terms: 7x + -7x = 0
12X + 0 = 2 + 12x + -7x
12X = 2 + 12x + -7x

Combine like terms: 12x + -7x = 5x
12X = 2 + 5x

Divide each side by '12'.
X = 0.1666666667 + 0.4166666667x

Simplifying
X = 0.1666666667 + 0.4166666667x

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