5[1.5(x-1)-6.8]-0.31x=3.7

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Solution for 5[1.5(x-1)-6.8]-0.31x=3.7 equation:


Simplifying
5[1.5(x + -1) + -6.8] + -0.31x = 3.7

Reorder the terms:
5[1.5(-1 + x) + -6.8] + -0.31x = 3.7
5[(-1 * 1.5 + x * 1.5) + -6.8] + -0.31x = 3.7
5[(-1.5 + 1.5x) + -6.8] + -0.31x = 3.7

Reorder the terms:
5[-1.5 + -6.8 + 1.5x] + -0.31x = 3.7

Combine like terms: -1.5 + -6.8 = -8.3
5[-8.3 + 1.5x] + -0.31x = 3.7
[-8.3 * 5 + 1.5x * 5] + -0.31x = 3.7
[-41.5 + 7.5x] + -0.31x = 3.7

Combine like terms: 7.5x + -0.31x = 7.19x
-41.5 + 7.19x = 3.7

Solving
-41.5 + 7.19x = 3.7

Solving for variable 'x'.

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

Add '41.5' to each side of the equation.
-41.5 + 41.5 + 7.19x = 3.7 + 41.5

Combine like terms: -41.5 + 41.5 = 0.0
0.0 + 7.19x = 3.7 + 41.5
7.19x = 3.7 + 41.5

Combine like terms: 3.7 + 41.5 = 45.2
7.19x = 45.2

Divide each side by '7.19'.
x = 6.28650904

Simplifying
x = 6.28650904

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