(5x+9)-(3x-13)=-2(11+x)

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Solution for (5x+9)-(3x-13)=-2(11+x) equation:


Simplifying
(5x + 9) + -1(3x + -13) = -2(11 + x)

Reorder the terms:
(9 + 5x) + -1(3x + -13) = -2(11 + x)

Remove parenthesis around (9 + 5x)
9 + 5x + -1(3x + -13) = -2(11 + x)

Reorder the terms:
9 + 5x + -1(-13 + 3x) = -2(11 + x)
9 + 5x + (-13 * -1 + 3x * -1) = -2(11 + x)
9 + 5x + (13 + -3x) = -2(11 + x)

Reorder the terms:
9 + 13 + 5x + -3x = -2(11 + x)

Combine like terms: 9 + 13 = 22
22 + 5x + -3x = -2(11 + x)

Combine like terms: 5x + -3x = 2x
22 + 2x = -2(11 + x)
22 + 2x = (11 * -2 + x * -2)
22 + 2x = (-22 + -2x)

Solving
22 + 2x = -22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
22 + 2x + 2x = -22 + -2x + 2x

Combine like terms: 2x + 2x = 4x
22 + 4x = -22 + -2x + 2x

Combine like terms: -2x + 2x = 0
22 + 4x = -22 + 0
22 + 4x = -22

Add '-22' to each side of the equation.
22 + -22 + 4x = -22 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = -22 + -22
4x = -22 + -22

Combine like terms: -22 + -22 = -44
4x = -44

Divide each side by '4'.
x = -11

Simplifying
x = -11

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