3x+13=-7x-17

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Solution for 3x+13=-7x-17 equation:


Simplifying
3x + 13 = -7x + -17

Reorder the terms:
13 + 3x = -7x + -17

Reorder the terms:
13 + 3x = -17 + -7x

Solving
13 + 3x = -17 + -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.
13 + 3x + 7x = -17 + -7x + 7x

Combine like terms: 3x + 7x = 10x
13 + 10x = -17 + -7x + 7x

Combine like terms: -7x + 7x = 0
13 + 10x = -17 + 0
13 + 10x = -17

Add '-13' to each side of the equation.
13 + -13 + 10x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + 10x = -17 + -13
10x = -17 + -13

Combine like terms: -17 + -13 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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