22-7x=-4(4x-1)

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Solution for 22-7x=-4(4x-1) equation:


Simplifying
22 + -7x = -4(4x + -1)

Reorder the terms:
22 + -7x = -4(-1 + 4x)
22 + -7x = (-1 * -4 + 4x * -4)
22 + -7x = (4 + -16x)

Solving
22 + -7x = 4 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
22 + -7x + 16x = 4 + -16x + 16x

Combine like terms: -7x + 16x = 9x
22 + 9x = 4 + -16x + 16x

Combine like terms: -16x + 16x = 0
22 + 9x = 4 + 0
22 + 9x = 4

Add '-22' to each side of the equation.
22 + -22 + 9x = 4 + -22

Combine like terms: 22 + -22 = 0
0 + 9x = 4 + -22
9x = 4 + -22

Combine like terms: 4 + -22 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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