42=17x+4(x+5)

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Solution for 42=17x+4(x+5) equation:


Simplifying
42 = 17x + 4(x + 5)

Reorder the terms:
42 = 17x + 4(5 + x)
42 = 17x + (5 * 4 + x * 4)
42 = 17x + (20 + 4x)

Reorder the terms:
42 = 20 + 17x + 4x

Combine like terms: 17x + 4x = 21x
42 = 20 + 21x

Solving
42 = 20 + 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.
42 + -21x = 20 + 21x + -21x

Combine like terms: 21x + -21x = 0
42 + -21x = 20 + 0
42 + -21x = 20

Add '-42' to each side of the equation.
42 + -42 + -21x = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -21x = 20 + -42
-21x = 20 + -42

Combine like terms: 20 + -42 = -22
-21x = -22

Divide each side by '-21'.
x = 1.047619048

Simplifying
x = 1.047619048

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