2x=3(2x+1)+5

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Solution for 2x=3(2x+1)+5 equation:


Simplifying
2x = 3(2x + 1) + 5

Reorder the terms:
2x = 3(1 + 2x) + 5
2x = (1 * 3 + 2x * 3) + 5
2x = (3 + 6x) + 5

Reorder the terms:
2x = 3 + 5 + 6x

Combine like terms: 3 + 5 = 8
2x = 8 + 6x

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

Combine like terms: 2x + -6x = -4x
-4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4x = 8 + 0
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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