5x+4=x+2(x+3)

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Solution for 5x+4=x+2(x+3) equation:


Simplifying
5x + 4 = x + 2(x + 3)

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

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

Reorder the terms:
4 + 5x = 6 + x + 2x

Combine like terms: x + 2x = 3x
4 + 5x = 6 + 3x

Solving
4 + 5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = 6 + 0
4 + 2x = 6

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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