1(x+6)+3=-7(x+5)

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Solution for 1(x+6)+3=-7(x+5) equation:


Simplifying
1(x + 6) + 3 = -7(x + 5)

Reorder the terms:
1(6 + x) + 3 = -7(x + 5)
(6 * 1 + x * 1) + 3 = -7(x + 5)
(6 + 1x) + 3 = -7(x + 5)

Reorder the terms:
6 + 3 + 1x = -7(x + 5)

Combine like terms: 6 + 3 = 9
9 + 1x = -7(x + 5)

Reorder the terms:
9 + 1x = -7(5 + x)
9 + 1x = (5 * -7 + x * -7)
9 + 1x = (-35 + -7x)

Solving
9 + 1x = -35 + -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.
9 + 1x + 7x = -35 + -7x + 7x

Combine like terms: 1x + 7x = 8x
9 + 8x = -35 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + 8x = -35 + 0
9 + 8x = -35

Add '-9' to each side of the equation.
9 + -9 + 8x = -35 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = -35 + -9
8x = -35 + -9

Combine like terms: -35 + -9 = -44
8x = -44

Divide each side by '8'.
x = -5.5

Simplifying
x = -5.5

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