4x+14=74-7x

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Solution for 4x+14=74-7x equation:


Simplifying
4x + 14 = 74 + -7x

Reorder the terms:
14 + 4x = 74 + -7x

Solving
14 + 4x = 74 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
14 + 4x + 7x = 74 + -7x + 7x

Combine like terms: 4x + 7x = 11x
14 + 11x = 74 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 11x = 74 + 0
14 + 11x = 74

Add '-14' to each side of the equation.
14 + -14 + 11x = 74 + -14

Combine like terms: 14 + -14 = 0
0 + 11x = 74 + -14
11x = 74 + -14

Combine like terms: 74 + -14 = 60
11x = 60

Divide each side by '11'.
x = 5.454545455

Simplifying
x = 5.454545455

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