-8(x+4)+2=-3(x+3)-1

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Solution for -8(x+4)+2=-3(x+3)-1 equation:


Simplifying
-8(x + 4) + 2 = -3(x + 3) + -1

Reorder the terms:
-8(4 + x) + 2 = -3(x + 3) + -1
(4 * -8 + x * -8) + 2 = -3(x + 3) + -1
(-32 + -8x) + 2 = -3(x + 3) + -1

Reorder the terms:
-32 + 2 + -8x = -3(x + 3) + -1

Combine like terms: -32 + 2 = -30
-30 + -8x = -3(x + 3) + -1

Reorder the terms:
-30 + -8x = -3(3 + x) + -1
-30 + -8x = (3 * -3 + x * -3) + -1
-30 + -8x = (-9 + -3x) + -1

Reorder the terms:
-30 + -8x = -9 + -1 + -3x

Combine like terms: -9 + -1 = -10
-30 + -8x = -10 + -3x

Solving
-30 + -8x = -10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-30 + -8x + 3x = -10 + -3x + 3x

Combine like terms: -8x + 3x = -5x
-30 + -5x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-30 + -5x = -10 + 0
-30 + -5x = -10

Add '30' to each side of the equation.
-30 + 30 + -5x = -10 + 30

Combine like terms: -30 + 30 = 0
0 + -5x = -10 + 30
-5x = -10 + 30

Combine like terms: -10 + 30 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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