7x-2=17+4(3-(9+2))

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Solution for 7x-2=17+4(3-(9+2)) equation: 


Simplifying
7x + -2 = 17 + 4(3 + -1(9 + 2))

Reorder the terms:
-2 + 7x = 17 + 4(3 + -1(9 + 2))

Combine like terms: 9 + 2 = 11
-2 + 7x = 17 + 4(3 + -1(11))

Multiply -1 * 11
-2 + 7x = 17 + 4(3 + -11)

Combine like terms: 3 + -11 = -8
-2 + 7x = 17 + 4(-8)

Multiply 4 * -8
-2 + 7x = 17 + -32

Combine like terms: 17 + -32 = -15
-2 + 7x = -15

Solving
-2 + 7x = -15

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -15 + 2
7x = -15 + 2

Combine like terms: -15 + 2 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

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