2x+1=-3x-7

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Solution for 2x+1=-3x-7 equation:


Simplifying
2x + 1 = -3x + -7

Reorder the terms:
1 + 2x = -3x + -7

Reorder the terms:
1 + 2x = -7 + -3x

Solving
1 + 2x = -7 + -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 = -7 + -3x + 3x

Combine like terms: 2x + 3x = 5x
1 + 5x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 5x = -7 + 0
1 + 5x = -7

Add '-1' to each side of the equation.
1 + -1 + 5x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -7 + -1
5x = -7 + -1

Combine like terms: -7 + -1 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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