162=(5x-3)+(4x+5)

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Solution for 162=(5x-3)+(4x+5) equation:


Simplifying
162 = (5x + -3) + (4x + 5)

Reorder the terms:
162 = (-3 + 5x) + (4x + 5)

Remove parenthesis around (-3 + 5x)
162 = -3 + 5x + (4x + 5)

Reorder the terms:
162 = -3 + 5x + (5 + 4x)

Remove parenthesis around (5 + 4x)
162 = -3 + 5x + 5 + 4x

Reorder the terms:
162 = -3 + 5 + 5x + 4x

Combine like terms: -3 + 5 = 2
162 = 2 + 5x + 4x

Combine like terms: 5x + 4x = 9x
162 = 2 + 9x

Solving
162 = 2 + 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.
162 + -9x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
162 + -9x = 2 + 0
162 + -9x = 2

Add '-162' to each side of the equation.
162 + -162 + -9x = 2 + -162

Combine like terms: 162 + -162 = 0
0 + -9x = 2 + -162
-9x = 2 + -162

Combine like terms: 2 + -162 = -160
-9x = -160

Divide each side by '-9'.
x = 17.77777778

Simplifying
x = 17.77777778

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