13x+(-9x-16)=33-(7x+5)

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Solution for 13x+(-9x-16)=33-(7x+5) equation:


Simplifying
13x + (-9x + -16) = 33 + -1(7x + 5)

Reorder the terms:
13x + (-16 + -9x) = 33 + -1(7x + 5)

Remove parenthesis around (-16 + -9x)
13x + -16 + -9x = 33 + -1(7x + 5)

Reorder the terms:
-16 + 13x + -9x = 33 + -1(7x + 5)

Combine like terms: 13x + -9x = 4x
-16 + 4x = 33 + -1(7x + 5)

Reorder the terms:
-16 + 4x = 33 + -1(5 + 7x)
-16 + 4x = 33 + (5 * -1 + 7x * -1)
-16 + 4x = 33 + (-5 + -7x)

Combine like terms: 33 + -5 = 28
-16 + 4x = 28 + -7x

Solving
-16 + 4x = 28 + -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.
-16 + 4x + 7x = 28 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-16 + 11x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 11x = 28 + 0
-16 + 11x = 28

Add '16' to each side of the equation.
-16 + 16 + 11x = 28 + 16

Combine like terms: -16 + 16 = 0
0 + 11x = 28 + 16
11x = 28 + 16

Combine like terms: 28 + 16 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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