5(x+6)+4=-9(x-3)-8

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Solution for 5(x+6)+4=-9(x-3)-8 equation: 


Simplifying
5(x + 6) + 4 = -9(x + -3) + -8

Reorder the terms:
5(6 + x) + 4 = -9(x + -3) + -8
(6 * 5 + x * 5) + 4 = -9(x + -3) + -8
(30 + 5x) + 4 = -9(x + -3) + -8

Reorder the terms:
30 + 4 + 5x = -9(x + -3) + -8

Combine like terms: 30 + 4 = 34
34 + 5x = -9(x + -3) + -8

Reorder the terms:
34 + 5x = -9(-3 + x) + -8
34 + 5x = (-3 * -9 + x * -9) + -8
34 + 5x = (27 + -9x) + -8

Reorder the terms:
34 + 5x = 27 + -8 + -9x

Combine like terms: 27 + -8 = 19
34 + 5x = 19 + -9x

Solving
34 + 5x = 19 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
34 + 5x + 9x = 19 + -9x + 9x

Combine like terms: 5x + 9x = 14x
34 + 14x = 19 + -9x + 9x

Combine like terms: -9x + 9x = 0
34 + 14x = 19 + 0
34 + 14x = 19

Add '-34' to each side of the equation.
34 + -34 + 14x = 19 + -34

Combine like terms: 34 + -34 = 0
0 + 14x = 19 + -34
14x = 19 + -34

Combine like terms: 19 + -34 = -15
14x = -15

Divide each side by '14'.
x = -1.071428571

Simplifying
x = -1.071428571

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