5(x+9)-2(x-14)=3

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Solution for 5(x+9)-2(x-14)=3 equation:


Simplifying
5(x + 9) + -2(x + -14) = 3

Reorder the terms:
5(9 + x) + -2(x + -14) = 3
(9 * 5 + x * 5) + -2(x + -14) = 3
(45 + 5x) + -2(x + -14) = 3

Reorder the terms:
45 + 5x + -2(-14 + x) = 3
45 + 5x + (-14 * -2 + x * -2) = 3
45 + 5x + (28 + -2x) = 3

Reorder the terms:
45 + 28 + 5x + -2x = 3

Combine like terms: 45 + 28 = 73
73 + 5x + -2x = 3

Combine like terms: 5x + -2x = 3x
73 + 3x = 3

Solving
73 + 3x = 3

Solving for variable 'x'.

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

Add '-73' to each side of the equation.
73 + -73 + 3x = 3 + -73

Combine like terms: 73 + -73 = 0
0 + 3x = 3 + -73
3x = 3 + -73

Combine like terms: 3 + -73 = -70
3x = -70

Divide each side by '3'.
x = -23.33333333

Simplifying
x = -23.33333333

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