.16(36-24x)=-4x-7.5

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Solution for .16(36-24x)=-4x-7.5 equation: 


Simplifying
0.16(36 + -24x) = -4x + -7.5
(36 * 0.16 + -24x * 0.16) = -4x + -7.5
(5.76 + -3.84x) = -4x + -7.5

Reorder the terms:
5.76 + -3.84x = -7.5 + -4x

Solving
5.76 + -3.84x = -7.5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5.76 + -3.84x + 4x = -7.5 + -4x + 4x

Combine like terms: -3.84x + 4x = 0.16x
5.76 + 0.16x = -7.5 + -4x + 4x

Combine like terms: -4x + 4x = 0
5.76 + 0.16x = -7.5 + 0
5.76 + 0.16x = -7.5

Add '-5.76' to each side of the equation.
5.76 + -5.76 + 0.16x = -7.5 + -5.76

Combine like terms: 5.76 + -5.76 = 0.00
0.00 + 0.16x = -7.5 + -5.76
0.16x = -7.5 + -5.76

Combine like terms: -7.5 + -5.76 = -13.26
0.16x = -13.26

Divide each side by '0.16'.
x = -82.875

Simplifying
x = -82.875

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