8x-3(x+2)=-3x-10

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Solution for 8x-3(x+2)=-3x-10 equation:


Simplifying
8x + -3(x + 2) = -3x + -10

Reorder the terms:
8x + -3(2 + x) = -3x + -10
8x + (2 * -3 + x * -3) = -3x + -10
8x + (-6 + -3x) = -3x + -10

Reorder the terms:
-6 + 8x + -3x = -3x + -10

Combine like terms: 8x + -3x = 5x
-6 + 5x = -3x + -10

Reorder the terms:
-6 + 5x = -10 + -3x

Solving
-6 + 5x = -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.
-6 + 5x + 3x = -10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-6 + 8x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 8x = -10 + 0
-6 + 8x = -10

Add '6' to each side of the equation.
-6 + 6 + 8x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = -10 + 6
8x = -10 + 6

Combine like terms: -10 + 6 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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