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

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


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

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

Reorder the terms:
-8 + -8x + 3(-2 + x) = -3x + 2
-8 + -8x + (-2 * 3 + x * 3) = -3x + 2
-8 + -8x + (-6 + 3x) = -3x + 2

Reorder the terms:
-8 + -6 + -8x + 3x = -3x + 2

Combine like terms: -8 + -6 = -14
-14 + -8x + 3x = -3x + 2

Combine like terms: -8x + 3x = -5x
-14 + -5x = -3x + 2

Reorder the terms:
-14 + -5x = 2 + -3x

Solving
-14 + -5x = 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.
-14 + -5x + 3x = 2 + -3x + 3x

Combine like terms: -5x + 3x = -2x
-14 + -2x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + -2x = 2 + 0
-14 + -2x = 2

Add '14' to each side of the equation.
-14 + 14 + -2x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 2 + 14
-2x = 2 + 14

Combine like terms: 2 + 14 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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