2[4-9x]=9x+7

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Solution for 2[4-9x]=9x+7 equation:


Simplifying
2[4 + -9x] = 9x + 7
[4 * 2 + -9x * 2] = 9x + 7
[8 + -18x] = 9x + 7

Reorder the terms:
8 + -18x = 7 + 9x

Solving
8 + -18x = 7 + 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.
8 + -18x + -9x = 7 + 9x + -9x

Combine like terms: -18x + -9x = -27x
8 + -27x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -27x = 7 + 0
8 + -27x = 7

Add '-8' to each side of the equation.
8 + -8 + -27x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -27x = 7 + -8
-27x = 7 + -8

Combine like terms: 7 + -8 = -1
-27x = -1

Divide each side by '-27'.
x = 0.03703703704

Simplifying
x = 0.03703703704

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