[(3x-10)1.5]-1=7

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Solution for [(3x-10)1.5]-1=7 equation:


Simplifying
[(3x + -10) * 1.5] + -1 = 7

Reorder the terms:
[(-10 + 3x) * 1.5] + -1 = 7

Reorder the terms for easier multiplication:
[1.5(-10 + 3x)] + -1 = 7
[(-10 * 1.5 + 3x * 1.5)] + -1 = 7
[(-15 + 4.5x)] + -1 = 7
[-15 + 4.5x] + -1 = 7

Remove brackets around [-15 + 4.5x]
-15 + 4.5x + -1 = 7

Reorder the terms:
-15 + -1 + 4.5x = 7

Combine like terms: -15 + -1 = -16
-16 + 4.5x = 7

Solving
-16 + 4.5x = 7

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 4.5x = 7 + 16

Combine like terms: -16 + 16 = 0
0 + 4.5x = 7 + 16
4.5x = 7 + 16

Combine like terms: 7 + 16 = 23
4.5x = 23

Divide each side by '4.5'.
x = 5.111111111

Simplifying
x = 5.111111111

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