.75(3x+6)-.25(5x-24)=

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Solution for .75(3x+6)-.25(5x-24)= equation:


Simplifying
0.75(3x + 6) + -0.25(5x + -24) = 0

Reorder the terms:
0.75(6 + 3x) + -0.25(5x + -24) = 0
(6 * 0.75 + 3x * 0.75) + -0.25(5x + -24) = 0
(4.5 + 2.25x) + -0.25(5x + -24) = 0

Reorder the terms:
4.5 + 2.25x + -0.25(-24 + 5x) = 0
4.5 + 2.25x + (-24 * -0.25 + 5x * -0.25) = 0
4.5 + 2.25x + (6 + -1.25x) = 0

Reorder the terms:
4.5 + 6 + 2.25x + -1.25x = 0

Combine like terms: 4.5 + 6 = 10.5
10.5 + 2.25x + -1.25x = 0

Combine like terms: 2.25x + -1.25x = 1x
10.5 + 1x = 0

Solving
10.5 + 1x = 0

Solving for variable 'x'.

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

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 1x = 0 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 1x = 0 + -10.5
1x = 0 + -10.5

Combine like terms: 0 + -10.5 = -10.5
1x = -10.5

Divide each side by '1'.
x = -10.5

Simplifying
x = -10.5

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