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

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


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

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

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

Reorder the terms:
-3 = -3 + 8 + -3x + -1x

Combine like terms: -3 + 8 = 5
-3 = 5 + -3x + -1x

Combine like terms: -3x + -1x = -4x
-3 = 5 + -4x

Solving
-3 = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3 + 4x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 4x = 5 + 0
-3 + 4x = 5

Add '3' to each side of the equation.
-3 + 3 + 4x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 5 + 3
4x = 5 + 3

Combine like terms: 5 + 3 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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