3x+4=(x+3)2

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Solution for 3x+4=(x+3)2 equation:


Simplifying
3x + 4 = (x + 3) * 2

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

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

Reorder the terms for easier multiplication:
4 + 3x = 2(3 + x)
4 + 3x = (3 * 2 + x * 2)
4 + 3x = (6 + 2x)

Solving
4 + 3x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
4 + 1x = 6 + 2x + -2x

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

Add '-4' to each side of the equation.
4 + -4 + 1x = 6 + -4

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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