4x+14=64-9x

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Solution for 4x+14=64-9x equation:


Simplifying
4x + 14 = 64 + -9x

Reorder the terms:
14 + 4x = 64 + -9x

Solving
14 + 4x = 64 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
14 + 4x + 9x = 64 + -9x + 9x

Combine like terms: 4x + 9x = 13x
14 + 13x = 64 + -9x + 9x

Combine like terms: -9x + 9x = 0
14 + 13x = 64 + 0
14 + 13x = 64

Add '-14' to each side of the equation.
14 + -14 + 13x = 64 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = 64 + -14
13x = 64 + -14

Combine like terms: 64 + -14 = 50
13x = 50

Divide each side by '13'.
x = 3.846153846

Simplifying
x = 3.846153846

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