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

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


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

Reorder the terms:
9(11 + x) + 5(13 + -1x) = 3
(11 * 9 + x * 9) + 5(13 + -1x) = 3
(99 + 9x) + 5(13 + -1x) = 3
99 + 9x + (13 * 5 + -1x * 5) = 3
99 + 9x + (65 + -5x) = 3

Reorder the terms:
99 + 65 + 9x + -5x = 3

Combine like terms: 99 + 65 = 164
164 + 9x + -5x = 3

Combine like terms: 9x + -5x = 4x
164 + 4x = 3

Solving
164 + 4x = 3

Solving for variable 'x'.

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

Add '-164' to each side of the equation.
164 + -164 + 4x = 3 + -164

Combine like terms: 164 + -164 = 0
0 + 4x = 3 + -164
4x = 3 + -164

Combine like terms: 3 + -164 = -161
4x = -161

Divide each side by '4'.
x = -40.25

Simplifying
x = -40.25

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