5x+2=2(x+1)+x+3

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Solution for 5x+2=2(x+1)+x+3 equation: 


Simplifying
5x + 2 = 2(x + 1) + x + 3

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

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

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

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

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

Solving
2 + 5x = 5 + 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.
2 + 5x + -3x = 5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + 2x = 5 + 0
2 + 2x = 5

Add '-2' to each side of the equation.
2 + -2 + 2x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 5 + -2
2x = 5 + -2

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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