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

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


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

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

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

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

Reorder the terms:
-8 + -2 + -8x + x = -3x + 2

Combine like terms: -8 + -2 = -10
-10 + -8x + x = -3x + 2

Combine like terms: -8x + x = -7x
-10 + -7x = -3x + 2

Reorder the terms:
-10 + -7x = 2 + -3x

Solving
-10 + -7x = 2 + -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.
-10 + -7x + 3x = 2 + -3x + 3x

Combine like terms: -7x + 3x = -4x
-10 + -4x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + -4x = 2 + 0
-10 + -4x = 2

Add '10' to each side of the equation.
-10 + 10 + -4x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 2 + 10
-4x = 2 + 10

Combine like terms: 2 + 10 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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