8x+16=3(x-7)-3

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Solution for 8x+16=3(x-7)-3 equation:


Simplifying
8x + 16 = 3(x + -7) + -3

Reorder the terms:
16 + 8x = 3(x + -7) + -3

Reorder the terms:
16 + 8x = 3(-7 + x) + -3
16 + 8x = (-7 * 3 + x * 3) + -3
16 + 8x = (-21 + 3x) + -3

Reorder the terms:
16 + 8x = -21 + -3 + 3x

Combine like terms: -21 + -3 = -24
16 + 8x = -24 + 3x

Solving
16 + 8x = -24 + 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.
16 + 8x + -3x = -24 + 3x + -3x

Combine like terms: 8x + -3x = 5x
16 + 5x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 5x = -24 + 0
16 + 5x = -24

Add '-16' to each side of the equation.
16 + -16 + 5x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -24 + -16
5x = -24 + -16

Combine like terms: -24 + -16 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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