-13(5x-16)=6x+42

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Solution for -13(5x-16)=6x+42 equation:


Simplifying
-13(5x + -16) = 6x + 42

Reorder the terms:
-13(-16 + 5x) = 6x + 42
(-16 * -13 + 5x * -13) = 6x + 42
(208 + -65x) = 6x + 42

Reorder the terms:
208 + -65x = 42 + 6x

Solving
208 + -65x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
208 + -65x + -6x = 42 + 6x + -6x

Combine like terms: -65x + -6x = -71x
208 + -71x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
208 + -71x = 42 + 0
208 + -71x = 42

Add '-208' to each side of the equation.
208 + -208 + -71x = 42 + -208

Combine like terms: 208 + -208 = 0
0 + -71x = 42 + -208
-71x = 42 + -208

Combine like terms: 42 + -208 = -166
-71x = -166

Divide each side by '-71'.
x = 2.338028169

Simplifying
x = 2.338028169

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