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

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


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

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

Remove parenthesis around (-3 + 2x)
-3 + 2x = 2(4x + 1)

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

Solving
-3 + 2x = 2 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
-3 + -6x = 2 + 0
-3 + -6x = 2

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

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

Combine like terms: 2 + 3 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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