-22=3x-4(2x+13)

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Solution for -22=3x-4(2x+13) equation:


Simplifying
-22 = 3x + -4(2x + 13)

Reorder the terms:
-22 = 3x + -4(13 + 2x)
-22 = 3x + (13 * -4 + 2x * -4)
-22 = 3x + (-52 + -8x)

Reorder the terms:
-22 = -52 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-22 = -52 + -5x

Solving
-22 = -52 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-22 + 5x = -52 + -5x + 5x

Combine like terms: -5x + 5x = 0
-22 + 5x = -52 + 0
-22 + 5x = -52

Add '22' to each side of the equation.
-22 + 22 + 5x = -52 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = -52 + 22
5x = -52 + 22

Combine like terms: -52 + 22 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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