2(2x+3)=6x+5

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Solution for 2(2x+3)=6x+5 equation:


Simplifying
2(2x + 3) = 6x + 5

Reorder the terms:
2(3 + 2x) = 6x + 5
(3 * 2 + 2x * 2) = 6x + 5
(6 + 4x) = 6x + 5

Reorder the terms:
6 + 4x = 5 + 6x

Solving
6 + 4x = 5 + 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.
6 + 4x + -6x = 5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
6 + -2x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -2x = 5 + 0
6 + -2x = 5

Add '-6' to each side of the equation.
6 + -6 + -2x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 5 + -6
-2x = 5 + -6

Combine like terms: 5 + -6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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