3x-2(2x-9)=4(2x-9)+8x

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Solution for 3x-2(2x-9)=4(2x-9)+8x equation:


Simplifying
3x + -2(2x + -9) = 4(2x + -9) + 8x

Reorder the terms:
3x + -2(-9 + 2x) = 4(2x + -9) + 8x
3x + (-9 * -2 + 2x * -2) = 4(2x + -9) + 8x
3x + (18 + -4x) = 4(2x + -9) + 8x

Reorder the terms:
18 + 3x + -4x = 4(2x + -9) + 8x

Combine like terms: 3x + -4x = -1x
18 + -1x = 4(2x + -9) + 8x

Reorder the terms:
18 + -1x = 4(-9 + 2x) + 8x
18 + -1x = (-9 * 4 + 2x * 4) + 8x
18 + -1x = (-36 + 8x) + 8x

Combine like terms: 8x + 8x = 16x
18 + -1x = -36 + 16x

Solving
18 + -1x = -36 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
18 + -1x + -16x = -36 + 16x + -16x

Combine like terms: -1x + -16x = -17x
18 + -17x = -36 + 16x + -16x

Combine like terms: 16x + -16x = 0
18 + -17x = -36 + 0
18 + -17x = -36

Add '-18' to each side of the equation.
18 + -18 + -17x = -36 + -18

Combine like terms: 18 + -18 = 0
0 + -17x = -36 + -18
-17x = -36 + -18

Combine like terms: -36 + -18 = -54
-17x = -54

Divide each side by '-17'.
x = 3.176470588

Simplifying
x = 3.176470588

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