1+(x+8)-2=-5(x-3)

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Solution for 1+(x+8)-2=-5(x-3) equation:


Simplifying
1 + (x + 8) + -2 = -5(x + -3)

Reorder the terms:
1 + (8 + x) + -2 = -5(x + -3)

Remove parenthesis around (8 + x)
1 + 8 + x + -2 = -5(x + -3)

Reorder the terms:
1 + 8 + -2 + x = -5(x + -3)

Combine like terms: 1 + 8 = 9
9 + -2 + x = -5(x + -3)

Combine like terms: 9 + -2 = 7
7 + x = -5(x + -3)

Reorder the terms:
7 + x = -5(-3 + x)
7 + x = (-3 * -5 + x * -5)
7 + x = (15 + -5x)

Solving
7 + x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + x + 5x = 15 + -5x + 5x

Combine like terms: x + 5x = 6x
7 + 6x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 6x = 15 + 0
7 + 6x = 15

Add '-7' to each side of the equation.
7 + -7 + 6x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 15 + -7
6x = 15 + -7

Combine like terms: 15 + -7 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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