8x-3(4x-5)=-2x-21

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Solution for 8x-3(4x-5)=-2x-21 equation: 


Simplifying
8x + -3(4x + -5) = -2x + -21

Reorder the terms:
8x + -3(-5 + 4x) = -2x + -21
8x + (-5 * -3 + 4x * -3) = -2x + -21
8x + (15 + -12x) = -2x + -21

Reorder the terms:
15 + 8x + -12x = -2x + -21

Combine like terms: 8x + -12x = -4x
15 + -4x = -2x + -21

Reorder the terms:
15 + -4x = -21 + -2x

Solving
15 + -4x = -21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + -4x + 2x = -21 + -2x + 2x

Combine like terms: -4x + 2x = -2x
15 + -2x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -2x = -21 + 0
15 + -2x = -21

Add '-15' to each side of the equation.
15 + -15 + -2x = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -21 + -15
-2x = -21 + -15

Combine like terms: -21 + -15 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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