7x=2(2x+1)+13

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Solution for 7x=2(2x+1)+13 equation:


Simplifying
7x = 2(2x + 1) + 13

Reorder the terms:
7x = 2(1 + 2x) + 13
7x = (1 * 2 + 2x * 2) + 13
7x = (2 + 4x) + 13

Reorder the terms:
7x = 2 + 13 + 4x

Combine like terms: 2 + 13 = 15
7x = 15 + 4x

Solving
7x = 15 + 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.
7x + -4x = 15 + 4x + -4x

Combine like terms: 7x + -4x = 3x
3x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
3x = 15 + 0
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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