5x+13=2(2x+1)

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Solution for 5x+13=2(2x+1) equation:


Simplifying
5x + 13 = 2(2x + 1)

Reorder the terms:
13 + 5x = 2(2x + 1)

Reorder the terms:
13 + 5x = 2(1 + 2x)
13 + 5x = (1 * 2 + 2x * 2)
13 + 5x = (2 + 4x)

Solving
13 + 5x = 2 + 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.
13 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
13 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + 1x = 2 + 0
13 + 1x = 2

Add '-13' to each side of the equation.
13 + -13 + 1x = 2 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 2 + -13
1x = 2 + -13

Combine like terms: 2 + -13 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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