.9(-4x-5)=2.5x+4

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Solution for .9(-4x-5)=2.5x+4 equation:


Simplifying
0.9(-4x + -5) = 2.5x + 4

Reorder the terms:
0.9(-5 + -4x) = 2.5x + 4
(-5 * 0.9 + -4x * 0.9) = 2.5x + 4
(-4.5 + -3.6x) = 2.5x + 4

Reorder the terms:
-4.5 + -3.6x = 4 + 2.5x

Solving
-4.5 + -3.6x = 4 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-4.5 + -3.6x + -2.5x = 4 + 2.5x + -2.5x

Combine like terms: -3.6x + -2.5x = -6.1x
-4.5 + -6.1x = 4 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-4.5 + -6.1x = 4 + 0.0
-4.5 + -6.1x = 4

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -6.1x = 4 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -6.1x = 4 + 4.5
-6.1x = 4 + 4.5

Combine like terms: 4 + 4.5 = 8.5
-6.1x = 8.5

Divide each side by '-6.1'.
x = -1.393442623

Simplifying
x = -1.393442623

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