-5(3.2+2.3x)=2(-1.5x-4.75)

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Solution for -5(3.2+2.3x)=2(-1.5x-4.75) equation:


Simplifying
-5(3.2 + 2.3x) = 2(-1.5x + -4.75)
(3.2 * -5 + 2.3x * -5) = 2(-1.5x + -4.75)
(-16 + -11.5x) = 2(-1.5x + -4.75)

Reorder the terms:
-16 + -11.5x = 2(-4.75 + -1.5x)
-16 + -11.5x = (-4.75 * 2 + -1.5x * 2)
-16 + -11.5x = (-9.5 + -3x)

Solving
-16 + -11.5x = -9.5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + -11.5x + 3x = -9.5 + -3x + 3x

Combine like terms: -11.5x + 3x = -8.5x
-16 + -8.5x = -9.5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + -8.5x = -9.5 + 0
-16 + -8.5x = -9.5

Add '16' to each side of the equation.
-16 + 16 + -8.5x = -9.5 + 16

Combine like terms: -16 + 16 = 0
0 + -8.5x = -9.5 + 16
-8.5x = -9.5 + 16

Combine like terms: -9.5 + 16 = 6.5
-8.5x = 6.5

Divide each side by '-8.5'.
x = -0.7647058824

Simplifying
x = -0.7647058824

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