-4x+6X-16=22(x-3)-38

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Solution for -4x+6X-16=22(x-3)-38 equation:


Simplifying
-4x + 6X + -16 = 22(x + -3) + -38

Reorder the terms:
-16 + 6X + -4x = 22(x + -3) + -38

Reorder the terms:
-16 + 6X + -4x = 22(-3 + x) + -38
-16 + 6X + -4x = (-3 * 22 + x * 22) + -38
-16 + 6X + -4x = (-66 + 22x) + -38

Reorder the terms:
-16 + 6X + -4x = -66 + -38 + 22x

Combine like terms: -66 + -38 = -104
-16 + 6X + -4x = -104 + 22x

Solving
-16 + 6X + -4x = -104 + 22x

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + 6X + 16 + -4x = -104 + 16 + 22x

Reorder the terms:
-16 + 16 + 6X + -4x = -104 + 16 + 22x

Combine like terms: -16 + 16 = 0
0 + 6X + -4x = -104 + 16 + 22x
6X + -4x = -104 + 16 + 22x

Combine like terms: -104 + 16 = -88
6X + -4x = -88 + 22x

Add '4x' to each side of the equation.
6X + -4x + 4x = -88 + 22x + 4x

Combine like terms: -4x + 4x = 0
6X + 0 = -88 + 22x + 4x
6X = -88 + 22x + 4x

Combine like terms: 22x + 4x = 26x
6X = -88 + 26x

Divide each side by '6'.
X = -14.66666667 + 4.333333333x

Simplifying
X = -14.66666667 + 4.333333333x

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