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

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


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

Reorder the terms:
5 + 2x = 2(2x + -3)

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

Solving
5 + 2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 2x + -4x = -6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + -2x = -6 + 0
5 + -2x = -6

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

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

Combine like terms: -6 + -5 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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