1.7(3.5+4.2x)=4.5(1.2x-1.5)

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Solution for 1.7(3.5+4.2x)=4.5(1.2x-1.5) equation: 


Simplifying
1.7(3.5 + 4.2x) = 4.5(1.2x + -1.5)
(3.5 * 1.7 + 4.2x * 1.7) = 4.5(1.2x + -1.5)
(5.95 + 7.14x) = 4.5(1.2x + -1.5)

Reorder the terms:
5.95 + 7.14x = 4.5(-1.5 + 1.2x)
5.95 + 7.14x = (-1.5 * 4.5 + 1.2x * 4.5)
5.95 + 7.14x = (-6.75 + 5.4x)

Solving
5.95 + 7.14x = -6.75 + 5.4x

Solving for variable 'x'.

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

Add '-5.4x' to each side of the equation.
5.95 + 7.14x + -5.4x = -6.75 + 5.4x + -5.4x

Combine like terms: 7.14x + -5.4x = 1.74x
5.95 + 1.74x = -6.75 + 5.4x + -5.4x

Combine like terms: 5.4x + -5.4x = 0.0
5.95 + 1.74x = -6.75 + 0.0
5.95 + 1.74x = -6.75

Add '-5.95' to each side of the equation.
5.95 + -5.95 + 1.74x = -6.75 + -5.95

Combine like terms: 5.95 + -5.95 = 0.00
0.00 + 1.74x = -6.75 + -5.95
1.74x = -6.75 + -5.95

Combine like terms: -6.75 + -5.95 = -12.7
1.74x = -12.7

Divide each side by '1.74'.
x = -7.298850575

Simplifying
x = -7.298850575

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