0.9(5x+10)=1.5-(x+2)

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Solution for 0.9(5x+10)=1.5-(x+2) equation:


Simplifying
0.9(5x + 10) = 1.5 + -1(x + 2)

Reorder the terms:
0.9(10 + 5x) = 1.5 + -1(x + 2)
(10 * 0.9 + 5x * 0.9) = 1.5 + -1(x + 2)
(9 + 4.5x) = 1.5 + -1(x + 2)

Reorder the terms:
9 + 4.5x = 1.5 + -1(2 + x)
9 + 4.5x = 1.5 + (2 * -1 + x * -1)
9 + 4.5x = 1.5 + (-2 + -1x)

Combine like terms: 1.5 + -2 = -0.5
9 + 4.5x = -0.5 + -1x

Solving
9 + 4.5x = -0.5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 4.5x + x = -0.5 + -1x + x

Combine like terms: 4.5x + x = 5.5x
9 + 5.5x = -0.5 + -1x + x

Combine like terms: -1x + x = 0
9 + 5.5x = -0.5 + 0
9 + 5.5x = -0.5

Add '-9' to each side of the equation.
9 + -9 + 5.5x = -0.5 + -9

Combine like terms: 9 + -9 = 0
0 + 5.5x = -0.5 + -9
5.5x = -0.5 + -9

Combine like terms: -0.5 + -9 = -9.5
5.5x = -9.5

Divide each side by '5.5'.
x = -1.727272727

Simplifying
x = -1.727272727

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