8.7-1.7(x+7.3)=14-7(x+2)

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Solution for 8.7-1.7(x+7.3)=14-7(x+2) equation:


Simplifying
8.7 + -1.7(x + 7.3) = 14 + -7(x + 2)

Reorder the terms:
8.7 + -1.7(7.3 + x) = 14 + -7(x + 2)
8.7 + (7.3 * -1.7 + x * -1.7) = 14 + -7(x + 2)
8.7 + (-12.41 + -1.7x) = 14 + -7(x + 2)

Combine like terms: 8.7 + -12.41 = -3.71
-3.71 + -1.7x = 14 + -7(x + 2)

Reorder the terms:
-3.71 + -1.7x = 14 + -7(2 + x)
-3.71 + -1.7x = 14 + (2 * -7 + x * -7)
-3.71 + -1.7x = 14 + (-14 + -7x)

Combine like terms: 14 + -14 = 0
-3.71 + -1.7x = 0 + -7x
-3.71 + -1.7x = -7x

Solving
-3.71 + -1.7x = -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.
-3.71 + -1.7x + 7x = -7x + 7x

Combine like terms: -1.7x + 7x = 5.3x
-3.71 + 5.3x = -7x + 7x

Combine like terms: -7x + 7x = 0
-3.71 + 5.3x = 0

Add '3.71' to each side of the equation.
-3.71 + 3.71 + 5.3x = 0 + 3.71

Combine like terms: -3.71 + 3.71 = 0.00
0.00 + 5.3x = 0 + 3.71
5.3x = 0 + 3.71

Combine like terms: 0 + 3.71 = 3.71
5.3x = 3.71

Divide each side by '5.3'.
x = 0.7

Simplifying
x = 0.7

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