3x+4=-7x-1

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Solution for 3x+4=-7x-1 equation:


Simplifying
3x + 4 = -7x + -1

Reorder the terms:
4 + 3x = -7x + -1

Reorder the terms:
4 + 3x = -1 + -7x

Solving
4 + 3x = -1 + -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.
4 + 3x + 7x = -1 + -7x + 7x

Combine like terms: 3x + 7x = 10x
4 + 10x = -1 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 10x = -1 + 0
4 + 10x = -1

Add '-4' to each side of the equation.
4 + -4 + 10x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = -1 + -4
10x = -1 + -4

Combine like terms: -1 + -4 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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