5x+1=-(2x+13)

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Solution for 5x+1=-(2x+13) equation: 


Simplifying
5x + 1 = -1(2x + 13)

Reorder the terms:
1 + 5x = -1(2x + 13)

Reorder the terms:
1 + 5x = -1(13 + 2x)
1 + 5x = (13 * -1 + 2x * -1)
1 + 5x = (-13 + -2x)

Solving
1 + 5x = -13 + -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 = -13 + -2x + 2x

Combine like terms: 5x + 2x = 7x
1 + 7x = -13 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 7x = -13 + 0
1 + 7x = -13

Add '-1' to each side of the equation.
1 + -1 + 7x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = -13 + -1
7x = -13 + -1

Combine like terms: -13 + -1 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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