5(x+.5)=-1.5(x+3x)

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Solution for 5(x+.5)=-1.5(x+3x) equation:


Simplifying
5(x + 0.5) = -1.5(x + 3x)

Reorder the terms:
5(0.5 + x) = -1.5(x + 3x)
(0.5 * 5 + x * 5) = -1.5(x + 3x)
(2.5 + 5x) = -1.5(x + 3x)

Combine like terms: x + 3x = 4x
2.5 + 5x = -1.5(4x)

Remove parenthesis around (4x)
2.5 + 5x = -1.5 * 4x

Multiply -1.5 * 4
2.5 + 5x = -6x

Solving
2.5 + 5x = -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.
2.5 + 5x + 6x = -6x + 6x

Combine like terms: 5x + 6x = 11x
2.5 + 11x = -6x + 6x

Combine like terms: -6x + 6x = 0
2.5 + 11x = 0

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 11x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 11x = 0 + -2.5
11x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
11x = -2.5

Divide each side by '11'.
x = -0.2272727273

Simplifying
x = -0.2272727273

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