-1.5(16x+7)=3(10x-0.5)

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Solution for -1.5(16x+7)=3(10x-0.5) equation:


Simplifying
-1.5(16x + 7) = 3(10x + -0.5)

Reorder the terms:
-1.5(7 + 16x) = 3(10x + -0.5)
(7 * -1.5 + 16x * -1.5) = 3(10x + -0.5)
(-10.5 + -24x) = 3(10x + -0.5)

Reorder the terms:
-10.5 + -24x = 3(-0.5 + 10x)
-10.5 + -24x = (-0.5 * 3 + 10x * 3)
-10.5 + -24x = (-1.5 + 30x)

Solving
-10.5 + -24x = -1.5 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-10.5 + -24x + -30x = -1.5 + 30x + -30x

Combine like terms: -24x + -30x = -54x
-10.5 + -54x = -1.5 + 30x + -30x

Combine like terms: 30x + -30x = 0
-10.5 + -54x = -1.5 + 0
-10.5 + -54x = -1.5

Add '10.5' to each side of the equation.
-10.5 + 10.5 + -54x = -1.5 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + -54x = -1.5 + 10.5
-54x = -1.5 + 10.5

Combine like terms: -1.5 + 10.5 = 9
-54x = 9

Divide each side by '-54'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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