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

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


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

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

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

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

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

Solving
-3 + 8x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 8x + -6x = 6 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-3 + 2x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 2x = 6 + 0
-3 + 2x = 6

Add '3' to each side of the equation.
-3 + 3 + 2x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 6 + 3
2x = 6 + 3

Combine like terms: 6 + 3 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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