8.7-7.1(x+7.3)=14-7(x+2)

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Solution for 8.7-7.1(x+7.3)=14-7(x+2) equation:


Simplifying
8.7 + -7.1(x + 7.3) = 14 + -7(x + 2)

Reorder the terms:
8.7 + -7.1(7.3 + x) = 14 + -7(x + 2)
8.7 + (7.3 * -7.1 + x * -7.1) = 14 + -7(x + 2)
8.7 + (-51.83 + -7.1x) = 14 + -7(x + 2)

Combine like terms: 8.7 + -51.83 = -43.13
-43.13 + -7.1x = 14 + -7(x + 2)

Reorder the terms:
-43.13 + -7.1x = 14 + -7(2 + x)
-43.13 + -7.1x = 14 + (2 * -7 + x * -7)
-43.13 + -7.1x = 14 + (-14 + -7x)

Combine like terms: 14 + -14 = 0
-43.13 + -7.1x = 0 + -7x
-43.13 + -7.1x = -7x

Solving
-43.13 + -7.1x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-43.13 + -7.1x + 7x = -7x + 7x

Combine like terms: -7.1x + 7x = -0.1x
-43.13 + -0.1x = -7x + 7x

Combine like terms: -7x + 7x = 0
-43.13 + -0.1x = 0

Add '43.13' to each side of the equation.
-43.13 + 43.13 + -0.1x = 0 + 43.13

Combine like terms: -43.13 + 43.13 = 0.00
0.00 + -0.1x = 0 + 43.13
-0.1x = 0 + 43.13

Combine like terms: 0 + 43.13 = 43.13
-0.1x = 43.13

Divide each side by '-0.1'.
x = -431.3

Simplifying
x = -431.3

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