.09(x+15)=2.5-(x+3)

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Solution for .09(x+15)=2.5-(x+3) equation:


Simplifying
0.09(x + 15) = 2.5 + -1(x + 3)

Reorder the terms:
0.09(15 + x) = 2.5 + -1(x + 3)
(15 * 0.09 + x * 0.09) = 2.5 + -1(x + 3)
(1.35 + 0.09x) = 2.5 + -1(x + 3)

Reorder the terms:
1.35 + 0.09x = 2.5 + -1(3 + x)
1.35 + 0.09x = 2.5 + (3 * -1 + x * -1)
1.35 + 0.09x = 2.5 + (-3 + -1x)

Combine like terms: 2.5 + -3 = -0.5
1.35 + 0.09x = -0.5 + -1x

Solving
1.35 + 0.09x = -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.
1.35 + 0.09x + x = -0.5 + -1x + x

Combine like terms: 0.09x + x = 1.09x
1.35 + 1.09x = -0.5 + -1x + x

Combine like terms: -1x + x = 0
1.35 + 1.09x = -0.5 + 0
1.35 + 1.09x = -0.5

Add '-1.35' to each side of the equation.
1.35 + -1.35 + 1.09x = -0.5 + -1.35

Combine like terms: 1.35 + -1.35 = 0.00
0.00 + 1.09x = -0.5 + -1.35
1.09x = -0.5 + -1.35

Combine like terms: -0.5 + -1.35 = -1.85
1.09x = -1.85

Divide each side by '1.09'.
x = -1.697247706

Simplifying
x = -1.697247706

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