1.7(x+5)=2.1x+9.7

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


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

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

Reorder the terms:
8.5 + 1.7x = 9.7 + 2.1x

Solving
8.5 + 1.7x = 9.7 + 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 = 9.7 + 2.1x + -2.1x

Combine like terms: 1.7x + -2.1x = -0.4x
8.5 + -0.4x = 9.7 + 2.1x + -2.1x

Combine like terms: 2.1x + -2.1x = 0.0
8.5 + -0.4x = 9.7 + 0.0
8.5 + -0.4x = 9.7

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -0.4x = 9.7 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -0.4x = 9.7 + -8.5
-0.4x = 9.7 + -8.5

Combine like terms: 9.7 + -8.5 = 1.2
-0.4x = 1.2

Divide each side by '-0.4'.
x = -3

Simplifying
x = -3

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