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

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


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

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

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

Solving
-2 + 8x = 3 + 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.
-2 + 8x + -6x = 3 + 6x + -6x

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

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

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

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

Combine like terms: 3 + 2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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