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

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


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

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

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

Solving
-2 + 4x = 3 + 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 + 4x + -12x = 3 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-2 + -8x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -8x = 3 + 0
-2 + -8x = 3

Add '2' to each side of the equation.
-2 + 2 + -8x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 3 + 2
-8x = 3 + 2

Combine like terms: 3 + 2 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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