4(2x+9)=18-2(x-9)

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Solution for 4(2x+9)=18-2(x-9) equation:


Simplifying
4(2x + 9) = 18 + -2(x + -9)

Reorder the terms:
4(9 + 2x) = 18 + -2(x + -9)
(9 * 4 + 2x * 4) = 18 + -2(x + -9)
(36 + 8x) = 18 + -2(x + -9)

Reorder the terms:
36 + 8x = 18 + -2(-9 + x)
36 + 8x = 18 + (-9 * -2 + x * -2)
36 + 8x = 18 + (18 + -2x)

Combine like terms: 18 + 18 = 36
36 + 8x = 36 + -2x

Add '-36' to each side of the equation.
36 + -36 + 8x = 36 + -36 + -2x

Combine like terms: 36 + -36 = 0
0 + 8x = 36 + -36 + -2x
8x = 36 + -36 + -2x

Combine like terms: 36 + -36 = 0
8x = 0 + -2x
8x = -2x

Solving
8x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8x + 2x = -2x + 2x

Combine like terms: 8x + 2x = 10x
10x = -2x + 2x

Combine like terms: -2x + 2x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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