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

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


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

Reorder the terms:
2(-4 + 6x) + -6 + 2x = 3(4x + 3) + 1
(-4 * 2 + 6x * 2) + -6 + 2x = 3(4x + 3) + 1
(-8 + 12x) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:
-8 + -6 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: -8 + -6 = -14
-14 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 12x + 2x = 14x
-14 + 14x = 3(4x + 3) + 1

Reorder the terms:
-14 + 14x = 3(3 + 4x) + 1
-14 + 14x = (3 * 3 + 4x * 3) + 1
-14 + 14x = (9 + 12x) + 1

Reorder the terms:
-14 + 14x = 9 + 1 + 12x

Combine like terms: 9 + 1 = 10
-14 + 14x = 10 + 12x

Solving
-14 + 14x = 10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x
-14 + 2x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + 2x = 10 + 0
-14 + 2x = 10

Add '14' to each side of the equation.
-14 + 14 + 2x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 10 + 14
2x = 10 + 14

Combine like terms: 10 + 14 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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