0.75(5x+15)=2.9-(x+3)

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Solution for 0.75(5x+15)=2.9-(x+3) equation: 


Simplifying
0.75(5x + 15) = 2.9 + -1(x + 3)

Reorder the terms:
0.75(15 + 5x) = 2.9 + -1(x + 3)
(15 * 0.75 + 5x * 0.75) = 2.9 + -1(x + 3)
(11.25 + 3.75x) = 2.9 + -1(x + 3)

Reorder the terms:
11.25 + 3.75x = 2.9 + -1(3 + x)
11.25 + 3.75x = 2.9 + (3 * -1 + x * -1)
11.25 + 3.75x = 2.9 + (-3 + -1x)

Combine like terms: 2.9 + -3 = -0.1
11.25 + 3.75x = -0.1 + -1x

Solving
11.25 + 3.75x = -0.1 + -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.
11.25 + 3.75x + x = -0.1 + -1x + x

Combine like terms: 3.75x + x = 4.75x
11.25 + 4.75x = -0.1 + -1x + x

Combine like terms: -1x + x = 0
11.25 + 4.75x = -0.1 + 0
11.25 + 4.75x = -0.1

Add '-11.25' to each side of the equation.
11.25 + -11.25 + 4.75x = -0.1 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 4.75x = -0.1 + -11.25
4.75x = -0.1 + -11.25

Combine like terms: -0.1 + -11.25 = -11.35
4.75x = -11.35

Divide each side by '4.75'.
x = -2.389473684

Simplifying
x = -2.389473684

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