22-3x+17x=4(x+5)

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Solution for 22-3x+17x=4(x+5) equation:


Simplifying
22 + -3x + 17x = 4(x + 5)

Combine like terms: -3x + 17x = 14x
22 + 14x = 4(x + 5)

Reorder the terms:
22 + 14x = 4(5 + x)
22 + 14x = (5 * 4 + x * 4)
22 + 14x = (20 + 4x)

Solving
22 + 14x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + 14x + -4x = 20 + 4x + -4x

Combine like terms: 14x + -4x = 10x
22 + 10x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 10x = 20 + 0
22 + 10x = 20

Add '-22' to each side of the equation.
22 + -22 + 10x = 20 + -22

Combine like terms: 22 + -22 = 0
0 + 10x = 20 + -22
10x = 20 + -22

Combine like terms: 20 + -22 = -2
10x = -2

Divide each side by '10'.
x = -0.2

Simplifying
x = -0.2

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