153=(2x+8)+(7x-2)

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Solution for 153=(2x+8)+(7x-2) equation:


Simplifying
153 = (2x + 8) + (7x + -2)

Reorder the terms:
153 = (8 + 2x) + (7x + -2)

Remove parenthesis around (8 + 2x)
153 = 8 + 2x + (7x + -2)

Reorder the terms:
153 = 8 + 2x + (-2 + 7x)

Remove parenthesis around (-2 + 7x)
153 = 8 + 2x + -2 + 7x

Reorder the terms:
153 = 8 + -2 + 2x + 7x

Combine like terms: 8 + -2 = 6
153 = 6 + 2x + 7x

Combine like terms: 2x + 7x = 9x
153 = 6 + 9x

Solving
153 = 6 + 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.
153 + -9x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
153 + -9x = 6 + 0
153 + -9x = 6

Add '-153' to each side of the equation.
153 + -153 + -9x = 6 + -153

Combine like terms: 153 + -153 = 0
0 + -9x = 6 + -153
-9x = 6 + -153

Combine like terms: 6 + -153 = -147
-9x = -147

Divide each side by '-9'.
x = 16.33333333

Simplifying
x = 16.33333333

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