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

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


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

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

Reorder the terms:
5 + 3x = -2(-4 + x)
5 + 3x = (-4 * -2 + x * -2)
5 + 3x = (8 + -2x)

Solving
5 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
5 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 5x = 8 + 0
5 + 5x = 8

Add '-5' to each side of the equation.
5 + -5 + 5x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 8 + -5
5x = 8 + -5

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

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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