2(x-2)=9(x+9)

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


Simplifying
2(x + -2) = 9(x + 9)

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

Reorder the terms:
-4 + 2x = 9(9 + x)
-4 + 2x = (9 * 9 + x * 9)
-4 + 2x = (81 + 9x)

Solving
-4 + 2x = 81 + 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.
-4 + 2x + -9x = 81 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-4 + -7x = 81 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -7x = 81 + 0
-4 + -7x = 81

Add '4' to each side of the equation.
-4 + 4 + -7x = 81 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 81 + 4
-7x = 81 + 4

Combine like terms: 81 + 4 = 85
-7x = 85

Divide each side by '-7'.
x = -12.14285714

Simplifying
x = -12.14285714

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