7(x+4)=5x+16

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Solution for 7(x+4)=5x+16 equation:


Simplifying
7(x + 4) = 5x + 16

Reorder the terms:
7(4 + x) = 5x + 16
(4 * 7 + x * 7) = 5x + 16
(28 + 7x) = 5x + 16

Reorder the terms:
28 + 7x = 16 + 5x

Solving
28 + 7x = 16 + 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.
28 + 7x + -5x = 16 + 5x + -5x

Combine like terms: 7x + -5x = 2x
28 + 2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + 2x = 16 + 0
28 + 2x = 16

Add '-28' to each side of the equation.
28 + -28 + 2x = 16 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 16 + -28
2x = 16 + -28

Combine like terms: 16 + -28 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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