3(x+2)=7(-x-1)

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


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

Reorder the terms:
3(2 + x) = 7(-1x + -1)
(2 * 3 + x * 3) = 7(-1x + -1)
(6 + 3x) = 7(-1x + -1)

Reorder the terms:
6 + 3x = 7(-1 + -1x)
6 + 3x = (-1 * 7 + -1x * 7)
6 + 3x = (-7 + -7x)

Solving
6 + 3x = -7 + -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.
6 + 3x + 7x = -7 + -7x + 7x

Combine like terms: 3x + 7x = 10x
6 + 10x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 10x = -7 + 0
6 + 10x = -7

Add '-6' to each side of the equation.
6 + -6 + 10x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -7 + -6
10x = -7 + -6

Combine like terms: -7 + -6 = -13
10x = -13

Divide each side by '10'.
x = -1.3

Simplifying
x = -1.3

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