1.5(x+5)-.24(x+24)=0

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Solution for 1.5(x+5)-.24(x+24)=0 equation: 


Simplifying
1.5(x + 5) + -0.24(x + 24) = 0

Reorder the terms:
1.5(5 + x) + -0.24(x + 24) = 0
(5 * 1.5 + x * 1.5) + -0.24(x + 24) = 0
(7.5 + 1.5x) + -0.24(x + 24) = 0

Reorder the terms:
7.5 + 1.5x + -0.24(24 + x) = 0
7.5 + 1.5x + (24 * -0.24 + x * -0.24) = 0
7.5 + 1.5x + (-5.76 + -0.24x) = 0

Reorder the terms:
7.5 + -5.76 + 1.5x + -0.24x = 0

Combine like terms: 7.5 + -5.76 = 1.74
1.74 + 1.5x + -0.24x = 0

Combine like terms: 1.5x + -0.24x = 1.26x
1.74 + 1.26x = 0

Solving
1.74 + 1.26x = 0

Solving for variable 'x'.

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

Add '-1.74' to each side of the equation.
1.74 + -1.74 + 1.26x = 0 + -1.74

Combine like terms: 1.74 + -1.74 = 0.00
0.00 + 1.26x = 0 + -1.74
1.26x = 0 + -1.74

Combine like terms: 0 + -1.74 = -1.74
1.26x = -1.74

Divide each side by '1.26'.
x = -1.380952381

Simplifying
x = -1.380952381

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