-2(x+4)+4=6(x+5)+9

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Solution for -2(x+4)+4=6(x+5)+9 equation:


Simplifying
-2(x + 4) + 4 = 6(x + 5) + 9

Reorder the terms:
-2(4 + x) + 4 = 6(x + 5) + 9
(4 * -2 + x * -2) + 4 = 6(x + 5) + 9
(-8 + -2x) + 4 = 6(x + 5) + 9

Reorder the terms:
-8 + 4 + -2x = 6(x + 5) + 9

Combine like terms: -8 + 4 = -4
-4 + -2x = 6(x + 5) + 9

Reorder the terms:
-4 + -2x = 6(5 + x) + 9
-4 + -2x = (5 * 6 + x * 6) + 9
-4 + -2x = (30 + 6x) + 9

Reorder the terms:
-4 + -2x = 30 + 9 + 6x

Combine like terms: 30 + 9 = 39
-4 + -2x = 39 + 6x

Solving
-4 + -2x = 39 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + -2x + -6x = 39 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-4 + -8x = 39 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -8x = 39 + 0
-4 + -8x = 39

Add '4' to each side of the equation.
-4 + 4 + -8x = 39 + 4

Combine like terms: -4 + 4 = 0
0 + -8x = 39 + 4
-8x = 39 + 4

Combine like terms: 39 + 4 = 43
-8x = 43

Divide each side by '-8'.
x = -5.375

Simplifying
x = -5.375

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