2x+1=3(x-5)

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


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

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

Reorder the terms:
1 + 2x = 3(-5 + x)
1 + 2x = (-5 * 3 + x * 3)
1 + 2x = (-15 + 3x)

Solving
1 + 2x = -15 + 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.
1 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = -15 + 0
1 + -1x = -15

Add '-1' to each side of the equation.
1 + -1 + -1x = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -15 + -1
-1x = -15 + -1

Combine like terms: -15 + -1 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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