3x-14=5(9-4x)

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Solution for 3x-14=5(9-4x) equation:


Simplifying
3x + -14 = 5(9 + -4x)

Reorder the terms:
-14 + 3x = 5(9 + -4x)
-14 + 3x = (9 * 5 + -4x * 5)
-14 + 3x = (45 + -20x)

Solving
-14 + 3x = 45 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-14 + 3x + 20x = 45 + -20x + 20x

Combine like terms: 3x + 20x = 23x
-14 + 23x = 45 + -20x + 20x

Combine like terms: -20x + 20x = 0
-14 + 23x = 45 + 0
-14 + 23x = 45

Add '14' to each side of the equation.
-14 + 14 + 23x = 45 + 14

Combine like terms: -14 + 14 = 0
0 + 23x = 45 + 14
23x = 45 + 14

Combine like terms: 45 + 14 = 59
23x = 59

Divide each side by '23'.
x = 2.565217391

Simplifying
x = 2.565217391

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