24-(8x+3)=-6(3x-4)-13

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Solution for 24-(8x+3)=-6(3x-4)-13 equation: 


Simplifying
24 + -1(8x + 3) = -6(3x + -4) + -13

Reorder the terms:
24 + -1(3 + 8x) = -6(3x + -4) + -13
24 + (3 * -1 + 8x * -1) = -6(3x + -4) + -13
24 + (-3 + -8x) = -6(3x + -4) + -13

Combine like terms: 24 + -3 = 21
21 + -8x = -6(3x + -4) + -13

Reorder the terms:
21 + -8x = -6(-4 + 3x) + -13
21 + -8x = (-4 * -6 + 3x * -6) + -13
21 + -8x = (24 + -18x) + -13

Reorder the terms:
21 + -8x = 24 + -13 + -18x

Combine like terms: 24 + -13 = 11
21 + -8x = 11 + -18x

Solving
21 + -8x = 11 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
21 + -8x + 18x = 11 + -18x + 18x

Combine like terms: -8x + 18x = 10x
21 + 10x = 11 + -18x + 18x

Combine like terms: -18x + 18x = 0
21 + 10x = 11 + 0
21 + 10x = 11

Add '-21' to each side of the equation.
21 + -21 + 10x = 11 + -21

Combine like terms: 21 + -21 = 0
0 + 10x = 11 + -21
10x = 11 + -21

Combine like terms: 11 + -21 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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