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

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


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

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

Reorder the terms for easier multiplication:
[1.5(-7 + 3x)] + -1 = 7
[(-7 * 1.5 + 3x * 1.5)] + -1 = 7
[(-10.5 + 4.5x)] + -1 = 7
[-10.5 + 4.5x] + -1 = 7

Remove brackets around [-10.5 + 4.5x]
-10.5 + 4.5x + -1 = 7

Reorder the terms:
-10.5 + -1 + 4.5x = 7

Combine like terms: -10.5 + -1 = -11.5
-11.5 + 4.5x = 7

Solving
-11.5 + 4.5x = 7

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + 4.5x = 7 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + 4.5x = 7 + 11.5
4.5x = 7 + 11.5

Combine like terms: 7 + 11.5 = 18.5
4.5x = 18.5

Divide each side by '4.5'.
x = 4.111111111

Simplifying
x = 4.111111111

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