5x+3=-7x-2

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Solution for 5x+3=-7x-2 equation:


Simplifying
5x + 3 = -7x + -2

Reorder the terms:
3 + 5x = -7x + -2

Reorder the terms:
3 + 5x = -2 + -7x

Solving
3 + 5x = -2 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
3 + 5x + 7x = -2 + -7x + 7x

Combine like terms: 5x + 7x = 12x
3 + 12x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 12x = -2 + 0
3 + 12x = -2

Add '-3' to each side of the equation.
3 + -3 + 12x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 12x = -2 + -3
12x = -2 + -3

Combine like terms: -2 + -3 = -5
12x = -5

Divide each side by '12'.
x = -0.4166666667

Simplifying
x = -0.4166666667

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