9(x+5)+2=-4(x-11)-9

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Solution for 9(x+5)+2=-4(x-11)-9 equation:


Simplifying
9(x + 5) + 2 = -4(x + -11) + -9

Reorder the terms:
9(5 + x) + 2 = -4(x + -11) + -9
(5 * 9 + x * 9) + 2 = -4(x + -11) + -9
(45 + 9x) + 2 = -4(x + -11) + -9

Reorder the terms:
45 + 2 + 9x = -4(x + -11) + -9

Combine like terms: 45 + 2 = 47
47 + 9x = -4(x + -11) + -9

Reorder the terms:
47 + 9x = -4(-11 + x) + -9
47 + 9x = (-11 * -4 + x * -4) + -9
47 + 9x = (44 + -4x) + -9

Reorder the terms:
47 + 9x = 44 + -9 + -4x

Combine like terms: 44 + -9 = 35
47 + 9x = 35 + -4x

Solving
47 + 9x = 35 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
47 + 9x + 4x = 35 + -4x + 4x

Combine like terms: 9x + 4x = 13x
47 + 13x = 35 + -4x + 4x

Combine like terms: -4x + 4x = 0
47 + 13x = 35 + 0
47 + 13x = 35

Add '-47' to each side of the equation.
47 + -47 + 13x = 35 + -47

Combine like terms: 47 + -47 = 0
0 + 13x = 35 + -47
13x = 35 + -47

Combine like terms: 35 + -47 = -12
13x = -12

Divide each side by '13'.
x = -0.9230769231

Simplifying
x = -0.9230769231

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