-1.7(x+3)=3.5(x-4.8)+3.9

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Solution for -1.7(x+3)=3.5(x-4.8)+3.9 equation:


Simplifying
-1.7(x + 3) = 3.5(x + -4.8) + 3.9

Reorder the terms:
-1.7(3 + x) = 3.5(x + -4.8) + 3.9
(3 * -1.7 + x * -1.7) = 3.5(x + -4.8) + 3.9
(-5.1 + -1.7x) = 3.5(x + -4.8) + 3.9

Reorder the terms:
-5.1 + -1.7x = 3.5(-4.8 + x) + 3.9
-5.1 + -1.7x = (-4.8 * 3.5 + x * 3.5) + 3.9
-5.1 + -1.7x = (-16.8 + 3.5x) + 3.9

Reorder the terms:
-5.1 + -1.7x = -16.8 + 3.9 + 3.5x

Combine like terms: -16.8 + 3.9 = -12.9
-5.1 + -1.7x = -12.9 + 3.5x

Solving
-5.1 + -1.7x = -12.9 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
-5.1 + -1.7x + -3.5x = -12.9 + 3.5x + -3.5x

Combine like terms: -1.7x + -3.5x = -5.2x
-5.1 + -5.2x = -12.9 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
-5.1 + -5.2x = -12.9 + 0.0
-5.1 + -5.2x = -12.9

Add '5.1' to each side of the equation.
-5.1 + 5.1 + -5.2x = -12.9 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + -5.2x = -12.9 + 5.1
-5.2x = -12.9 + 5.1

Combine like terms: -12.9 + 5.1 = -7.8
-5.2x = -7.8

Divide each side by '-5.2'.
x = 1.5

Simplifying
x = 1.5

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