.75x+3=-2(.666x-4)

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Solution for .75x+3=-2(.666x-4) equation:


Simplifying
0.75x + 3 = -2(0.666x + -4)

Reorder the terms:
3 + 0.75x = -2(0.666x + -4)

Reorder the terms:
3 + 0.75x = -2(-4 + 0.666x)
3 + 0.75x = (-4 * -2 + 0.666x * -2)
3 + 0.75x = (8 + -1.332x)

Solving
3 + 0.75x = 8 + -1.332x

Solving for variable 'x'.

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

Add '1.332x' to each side of the equation.
3 + 0.75x + 1.332x = 8 + -1.332x + 1.332x

Combine like terms: 0.75x + 1.332x = 2.082x
3 + 2.082x = 8 + -1.332x + 1.332x

Combine like terms: -1.332x + 1.332x = 0.000
3 + 2.082x = 8 + 0.000
3 + 2.082x = 8

Add '-3' to each side of the equation.
3 + -3 + 2.082x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 2.082x = 8 + -3
2.082x = 8 + -3

Combine like terms: 8 + -3 = 5
2.082x = 5

Divide each side by '2.082'.
x = 2.401536984

Simplifying
x = 2.401536984

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