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

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


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

Multiply 2 * 4
8 + -6 + 2x = 3(4x + 3) + 1

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

Reorder the terms:
2 + 2x = 3(3 + 4x) + 1
2 + 2x = (3 * 3 + 4x * 3) + 1
2 + 2x = (9 + 12x) + 1

Reorder the terms:
2 + 2x = 9 + 1 + 12x

Combine like terms: 9 + 1 = 10
2 + 2x = 10 + 12x

Solving
2 + 2x = 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.
2 + 2x + -12x = 10 + 12x + -12x

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

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

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

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

Combine like terms: 10 + -2 = 8
-10x = 8

Divide each side by '-10'.
x = -0.8

Simplifying
x = -0.8

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