5x=2(x+3)-1

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


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

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

Reorder the terms:
5x = 6 + -1 + 2x

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

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

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

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

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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