50=.5(7x)+1.5(7x)+7x

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Solution for 50=.5(7x)+1.5(7x)+7x equation:


Simplifying
50 = 0.5(7x) + 1.5(7x) + 7x

Remove parenthesis around (7x)
50 = 0.5 * 7x + 1.5(7x) + 7x

Multiply 0.5 * 7
50 = 3.5x + 1.5(7x) + 7x

Remove parenthesis around (7x)
50 = 3.5x + 1.5 * 7x + 7x

Multiply 1.5 * 7
50 = 3.5x + 10.5x + 7x

Combine like terms: 3.5x + 10.5x = 14x
50 = 14x + 7x

Combine like terms: 14x + 7x = 21x
50 = 21x

Solving
50 = 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
50 + -21x = 21x + -21x

Combine like terms: 21x + -21x = 0
50 + -21x = 0

Add '-50' to each side of the equation.
50 + -50 + -21x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -21x = 0 + -50
-21x = 0 + -50

Combine like terms: 0 + -50 = -50
-21x = -50

Divide each side by '-21'.
x = 2.380952381

Simplifying
x = 2.380952381

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