14(x+5)=3(x+9)-10

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Solution for 14(x+5)=3(x+9)-10 equation: 


Simplifying
14(x + 5) = 3(x + 9) + -10

Reorder the terms:
14(5 + x) = 3(x + 9) + -10
(5 * 14 + x * 14) = 3(x + 9) + -10
(70 + 14x) = 3(x + 9) + -10

Reorder the terms:
70 + 14x = 3(9 + x) + -10
70 + 14x = (9 * 3 + x * 3) + -10
70 + 14x = (27 + 3x) + -10

Reorder the terms:
70 + 14x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
70 + 14x = 17 + 3x

Solving
70 + 14x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
70 + 14x + -3x = 17 + 3x + -3x

Combine like terms: 14x + -3x = 11x
70 + 11x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
70 + 11x = 17 + 0
70 + 11x = 17

Add '-70' to each side of the equation.
70 + -70 + 11x = 17 + -70

Combine like terms: 70 + -70 = 0
0 + 11x = 17 + -70
11x = 17 + -70

Combine like terms: 17 + -70 = -53
11x = -53

Divide each side by '11'.
x = -4.818181818

Simplifying
x = -4.818181818

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