5(2x+3)=6(x-4)-16

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Solution for 5(2x+3)=6(x-4)-16 equation: 


Simplifying
5(2x + 3) = 6(x + -4) + -16

Reorder the terms:
5(3 + 2x) = 6(x + -4) + -16
(3 * 5 + 2x * 5) = 6(x + -4) + -16
(15 + 10x) = 6(x + -4) + -16

Reorder the terms:
15 + 10x = 6(-4 + x) + -16
15 + 10x = (-4 * 6 + x * 6) + -16
15 + 10x = (-24 + 6x) + -16

Reorder the terms:
15 + 10x = -24 + -16 + 6x

Combine like terms: -24 + -16 = -40
15 + 10x = -40 + 6x

Solving
15 + 10x = -40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 10x + -6x = -40 + 6x + -6x

Combine like terms: 10x + -6x = 4x
15 + 4x = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 4x = -40 + 0
15 + 4x = -40

Add '-15' to each side of the equation.
15 + -15 + 4x = -40 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = -40 + -15
4x = -40 + -15

Combine like terms: -40 + -15 = -55
4x = -55

Divide each side by '4'.
x = -13.75

Simplifying
x = -13.75

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