3x+16=7+5(x+5)

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Solution for 3x+16=7+5(x+5) equation:


Simplifying
3x + 16 = 7 + 5(x + 5)

Reorder the terms:
16 + 3x = 7 + 5(x + 5)

Reorder the terms:
16 + 3x = 7 + 5(5 + x)
16 + 3x = 7 + (5 * 5 + x * 5)
16 + 3x = 7 + (25 + 5x)

Combine like terms: 7 + 25 = 32
16 + 3x = 32 + 5x

Solving
16 + 3x = 32 + 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.
16 + 3x + -5x = 32 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = 32 + 0
16 + -2x = 32

Add '-16' to each side of the equation.
16 + -16 + -2x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 32 + -16
-2x = 32 + -16

Combine like terms: 32 + -16 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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