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

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


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

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

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

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

Combine like terms: 7x + -4x = 3x
-22 + 3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + 3x = -16 + 0
-22 + 3x = -16

Add '22' to each side of the equation.
-22 + 22 + 3x = -16 + 22

Combine like terms: -22 + 22 = 0
0 + 3x = -16 + 22
3x = -16 + 22

Combine like terms: -16 + 22 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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