5*(9-2)=(x*9)-(x*2)

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Solution for 5*(9-2)=(x*9)-(x*2) equation: 


Simplifying
5(9 + -2) = (x * 9) + -1(x * 2)

Combine like terms: 9 + -2 = 7
5(7) = (x * 9) + -1(x * 2)

Multiply 5 * 7
35 = (x * 9) + -1(x * 2)

Reorder the terms for easier multiplication:
35 = (9x) + -1(x * 2)

Reorder the terms for easier multiplication:
35 = (9x) + -1(2x)

Remove parenthesis around (2x)
35 = (9x) + -1 * 2x

Multiply -1 * 2
35 = (9x) + -2x

Combine like terms: (9x) + -2x = 7x
35 = 7x

Solving
35 = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
35 + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
35 + -7x = 0

Add '-35' to each side of the equation.
35 + -35 + -7x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = 0 + -35
-7x = 0 + -35

Combine like terms: 0 + -35 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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