5-[(8x+7)-18x]=9x

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Solution for 5-[(8x+7)-18x]=9x equation:


Simplifying
5 + -1[(8x + 7) + -18x] = 9x

Reorder the terms:
5 + -1[(7 + 8x) + -18x] = 9x

Remove parenthesis around (7 + 8x)
5 + -1[7 + 8x + -18x] = 9x

Combine like terms: 8x + -18x = -10x
5 + -1[7 + -10x] = 9x
5 + [7 * -1 + -10x * -1] = 9x
5 + [-7 + 10x] = 9x

Combine like terms: 5 + -7 = -2
-2 + 10x = 9x

Solving
-2 + 10x = 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.
-2 + 10x + -9x = 9x + -9x

Combine like terms: 10x + -9x = 1x
-2 + 1x = 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 1x = 0

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 0 + 2
1x = 0 + 2

Combine like terms: 0 + 2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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