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

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


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

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

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

Combine like terms: 24 + 3 = 27
27 + 8x = -6(3x + -4) + -13

Reorder the terms:
27 + 8x = -6(-4 + 3x) + -13
27 + 8x = (-4 * -6 + 3x * -6) + -13
27 + 8x = (24 + -18x) + -13

Reorder the terms:
27 + 8x = 24 + -13 + -18x

Combine like terms: 24 + -13 = 11
27 + 8x = 11 + -18x

Solving
27 + 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.
27 + 8x + 18x = 11 + -18x + 18x

Combine like terms: 8x + 18x = 26x
27 + 26x = 11 + -18x + 18x

Combine like terms: -18x + 18x = 0
27 + 26x = 11 + 0
27 + 26x = 11

Add '-27' to each side of the equation.
27 + -27 + 26x = 11 + -27

Combine like terms: 27 + -27 = 0
0 + 26x = 11 + -27
26x = 11 + -27

Combine like terms: 11 + -27 = -16
26x = -16

Divide each side by '26'.
x = -0.6153846154

Simplifying
x = -0.6153846154

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