22-4x=-7(3x-8)

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Solution for 22-4x=-7(3x-8) equation:


Simplifying
22 + -4x = -7(3x + -8)

Reorder the terms:
22 + -4x = -7(-8 + 3x)
22 + -4x = (-8 * -7 + 3x * -7)
22 + -4x = (56 + -21x)

Solving
22 + -4x = 56 + -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.
22 + -4x + 21x = 56 + -21x + 21x

Combine like terms: -4x + 21x = 17x
22 + 17x = 56 + -21x + 21x

Combine like terms: -21x + 21x = 0
22 + 17x = 56 + 0
22 + 17x = 56

Add '-22' to each side of the equation.
22 + -22 + 17x = 56 + -22

Combine like terms: 22 + -22 = 0
0 + 17x = 56 + -22
17x = 56 + -22

Combine like terms: 56 + -22 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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