8-2(4x-6)=-3x-5

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Solution for 8-2(4x-6)=-3x-5 equation:


Simplifying
8 + -2(4x + -6) = -3x + -5

Reorder the terms:
8 + -2(-6 + 4x) = -3x + -5
8 + (-6 * -2 + 4x * -2) = -3x + -5
8 + (12 + -8x) = -3x + -5

Combine like terms: 8 + 12 = 20
20 + -8x = -3x + -5

Reorder the terms:
20 + -8x = -5 + -3x

Solving
20 + -8x = -5 + -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.
20 + -8x + 3x = -5 + -3x + 3x

Combine like terms: -8x + 3x = -5x
20 + -5x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -5x = -5 + 0
20 + -5x = -5

Add '-20' to each side of the equation.
20 + -20 + -5x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -5 + -20
-5x = -5 + -20

Combine like terms: -5 + -20 = -25
-5x = -25

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

Simplifying
x = 5

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