5(X+3)-(-7+4X)=3X+16

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Solution for 5(X+3)-(-7+4X)=3X+16 equation:


Simplifying
5(X + 3) + -1(-7 + 4X) = 3X + 16

Reorder the terms:
5(3 + X) + -1(-7 + 4X) = 3X + 16
(3 * 5 + X * 5) + -1(-7 + 4X) = 3X + 16
(15 + 5X) + -1(-7 + 4X) = 3X + 16
15 + 5X + (-7 * -1 + 4X * -1) = 3X + 16
15 + 5X + (7 + -4X) = 3X + 16

Reorder the terms:
15 + 7 + 5X + -4X = 3X + 16

Combine like terms: 15 + 7 = 22
22 + 5X + -4X = 3X + 16

Combine like terms: 5X + -4X = 1X
22 + 1X = 3X + 16

Reorder the terms:
22 + 1X = 16 + 3X

Solving
22 + 1X = 16 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
22 + 1X + -3X = 16 + 3X + -3X

Combine like terms: 1X + -3X = -2X
22 + -2X = 16 + 3X + -3X

Combine like terms: 3X + -3X = 0
22 + -2X = 16 + 0
22 + -2X = 16

Add '-22' to each side of the equation.
22 + -22 + -2X = 16 + -22

Combine like terms: 22 + -22 = 0
0 + -2X = 16 + -22
-2X = 16 + -22

Combine like terms: 16 + -22 = -6
-2X = -6

Divide each side by '-2'.
X = 3

Simplifying
X = 3

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