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

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


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

Reorder the terms:
5 + 6(-9 + x) = 8 + -9(x + -4)
5 + (-9 * 6 + x * 6) = 8 + -9(x + -4)
5 + (-54 + 6x) = 8 + -9(x + -4)

Combine like terms: 5 + -54 = -49
-49 + 6x = 8 + -9(x + -4)

Reorder the terms:
-49 + 6x = 8 + -9(-4 + x)
-49 + 6x = 8 + (-4 * -9 + x * -9)
-49 + 6x = 8 + (36 + -9x)

Combine like terms: 8 + 36 = 44
-49 + 6x = 44 + -9x

Solving
-49 + 6x = 44 + -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.
-49 + 6x + 9x = 44 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-49 + 15x = 44 + -9x + 9x

Combine like terms: -9x + 9x = 0
-49 + 15x = 44 + 0
-49 + 15x = 44

Add '49' to each side of the equation.
-49 + 49 + 15x = 44 + 49

Combine like terms: -49 + 49 = 0
0 + 15x = 44 + 49
15x = 44 + 49

Combine like terms: 44 + 49 = 93
15x = 93

Divide each side by '15'.
x = 6.2

Simplifying
x = 6.2

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