2-5(8x-5)=-7x-9

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Solution for 2-5(8x-5)=-7x-9 equation:


Simplifying
2 + -5(8x + -5) = -7x + -9

Reorder the terms:
2 + -5(-5 + 8x) = -7x + -9
2 + (-5 * -5 + 8x * -5) = -7x + -9
2 + (25 + -40x) = -7x + -9

Combine like terms: 2 + 25 = 27
27 + -40x = -7x + -9

Reorder the terms:
27 + -40x = -9 + -7x

Solving
27 + -40x = -9 + -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.
27 + -40x + 7x = -9 + -7x + 7x

Combine like terms: -40x + 7x = -33x
27 + -33x = -9 + -7x + 7x

Combine like terms: -7x + 7x = 0
27 + -33x = -9 + 0
27 + -33x = -9

Add '-27' to each side of the equation.
27 + -27 + -33x = -9 + -27

Combine like terms: 27 + -27 = 0
0 + -33x = -9 + -27
-33x = -9 + -27

Combine like terms: -9 + -27 = -36
-33x = -36

Divide each side by '-33'.
x = 1.090909091

Simplifying
x = 1.090909091

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