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

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


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

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

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

Solving
2 + 5x = 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.
2 + 5x + -4x = 6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
2 + 1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 1x = 6 + 0
2 + 1x = 6

Add '-2' to each side of the equation.
2 + -2 + 1x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 6 + -2
1x = 6 + -2

Combine like terms: 6 + -2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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