1.7(x+5)=2.1(x+9.7)

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Solution for 1.7(x+5)=2.1(x+9.7) equation: 


Simplifying
1.7(x + 5) = 2.1(x + 9.7)

Reorder the terms:
1.7(5 + x) = 2.1(x + 9.7)
(5 * 1.7 + x * 1.7) = 2.1(x + 9.7)
(8.5 + 1.7x) = 2.1(x + 9.7)

Reorder the terms:
8.5 + 1.7x = 2.1(9.7 + x)
8.5 + 1.7x = (9.7 * 2.1 + x * 2.1)
8.5 + 1.7x = (20.37 + 2.1x)

Solving
8.5 + 1.7x = 20.37 + 2.1x

Solving for variable 'x'.

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

Add '-2.1x' to each side of the equation.
8.5 + 1.7x + -2.1x = 20.37 + 2.1x + -2.1x

Combine like terms: 1.7x + -2.1x = -0.4x
8.5 + -0.4x = 20.37 + 2.1x + -2.1x

Combine like terms: 2.1x + -2.1x = 0.0
8.5 + -0.4x = 20.37 + 0.0
8.5 + -0.4x = 20.37

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -0.4x = 20.37 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -0.4x = 20.37 + -8.5
-0.4x = 20.37 + -8.5

Combine like terms: 20.37 + -8.5 = 11.87
-0.4x = 11.87

Divide each side by '-0.4'.
x = -29.675

Simplifying
x = -29.675

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