2x+3x+1=2(x+3)

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Solution for 2x+3x+1=2(x+3) equation: 


Simplifying
2x + 3x + 1 = 2(x + 3)

Reorder the terms:
1 + 2x + 3x = 2(x + 3)

Combine like terms: 2x + 3x = 5x
1 + 5x = 2(x + 3)

Reorder the terms:
1 + 5x = 2(3 + x)
1 + 5x = (3 * 2 + x * 2)
1 + 5x = (6 + 2x)

Solving
1 + 5x = 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.
1 + 5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
1 + 3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 3x = 6 + 0
1 + 3x = 6

Add '-1' to each side of the equation.
1 + -1 + 3x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 6 + -1
3x = 6 + -1

Combine like terms: 6 + -1 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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