4x+(x+8)=(7x-16)

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Solution for 4x+(x+8)=(7x-16) equation:


Simplifying
4x + (x + 8) = (7x + -16)

Reorder the terms:
4x + (8 + x) = (7x + -16)

Remove parenthesis around (8 + x)
4x + 8 + x = (7x + -16)

Reorder the terms:
8 + 4x + x = (7x + -16)

Combine like terms: 4x + x = 5x
8 + 5x = (7x + -16)

Reorder the terms:
8 + 5x = (-16 + 7x)

Remove parenthesis around (-16 + 7x)
8 + 5x = -16 + 7x

Solving
8 + 5x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 5x + -7x = -16 + 7x + -7x

Combine like terms: 5x + -7x = -2x
8 + -2x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -2x = -16 + 0
8 + -2x = -16

Add '-8' to each side of the equation.
8 + -8 + -2x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -16 + -8
-2x = -16 + -8

Combine like terms: -16 + -8 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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