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

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


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

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

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

Solving
10 + 6x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 6x + 4x = -16 + -4x + 4x

Combine like terms: 6x + 4x = 10x
10 + 10x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 10x = -16 + 0
10 + 10x = -16

Add '-10' to each side of the equation.
10 + -10 + 10x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = -16 + -10
10x = -16 + -10

Combine like terms: -16 + -10 = -26
10x = -26

Divide each side by '10'.
x = -2.6

Simplifying
x = -2.6

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