2(8x-1)+7(x+5)=-9

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Solution for 2(8x-1)+7(x+5)=-9 equation:


Simplifying
2(8x + -1) + 7(x + 5) = -9

Reorder the terms:
2(-1 + 8x) + 7(x + 5) = -9
(-1 * 2 + 8x * 2) + 7(x + 5) = -9
(-2 + 16x) + 7(x + 5) = -9

Reorder the terms:
-2 + 16x + 7(5 + x) = -9
-2 + 16x + (5 * 7 + x * 7) = -9
-2 + 16x + (35 + 7x) = -9

Reorder the terms:
-2 + 35 + 16x + 7x = -9

Combine like terms: -2 + 35 = 33
33 + 16x + 7x = -9

Combine like terms: 16x + 7x = 23x
33 + 23x = -9

Solving
33 + 23x = -9

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 23x = -9 + -33

Combine like terms: 33 + -33 = 0
0 + 23x = -9 + -33
23x = -9 + -33

Combine like terms: -9 + -33 = -42
23x = -42

Divide each side by '23'.
x = -1.826086957

Simplifying
x = -1.826086957

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