8(2x+3)=7(x-4)-16

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Solution for 8(2x+3)=7(x-4)-16 equation:


Simplifying
8(2x + 3) = 7(x + -4) + -16

Reorder the terms:
8(3 + 2x) = 7(x + -4) + -16
(3 * 8 + 2x * 8) = 7(x + -4) + -16
(24 + 16x) = 7(x + -4) + -16

Reorder the terms:
24 + 16x = 7(-4 + x) + -16
24 + 16x = (-4 * 7 + x * 7) + -16
24 + 16x = (-28 + 7x) + -16

Reorder the terms:
24 + 16x = -28 + -16 + 7x

Combine like terms: -28 + -16 = -44
24 + 16x = -44 + 7x

Solving
24 + 16x = -44 + 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.
24 + 16x + -7x = -44 + 7x + -7x

Combine like terms: 16x + -7x = 9x
24 + 9x = -44 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 9x = -44 + 0
24 + 9x = -44

Add '-24' to each side of the equation.
24 + -24 + 9x = -44 + -24

Combine like terms: 24 + -24 = 0
0 + 9x = -44 + -24
9x = -44 + -24

Combine like terms: -44 + -24 = -68
9x = -68

Divide each side by '9'.
x = -7.555555556

Simplifying
x = -7.555555556

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