-16(-7x+9)-11x-3=14(-7x+2)-6x+13

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Solution for -16(-7x+9)-11x-3=14(-7x+2)-6x+13 equation: 


Simplifying
-16(-7x + 9) + -11x + -3 = 14(-7x + 2) + -6x + 13

Reorder the terms:
-16(9 + -7x) + -11x + -3 = 14(-7x + 2) + -6x + 13
(9 * -16 + -7x * -16) + -11x + -3 = 14(-7x + 2) + -6x + 13
(-144 + 112x) + -11x + -3 = 14(-7x + 2) + -6x + 13

Reorder the terms:
-144 + -3 + 112x + -11x = 14(-7x + 2) + -6x + 13

Combine like terms: -144 + -3 = -147
-147 + 112x + -11x = 14(-7x + 2) + -6x + 13

Combine like terms: 112x + -11x = 101x
-147 + 101x = 14(-7x + 2) + -6x + 13

Reorder the terms:
-147 + 101x = 14(2 + -7x) + -6x + 13
-147 + 101x = (2 * 14 + -7x * 14) + -6x + 13
-147 + 101x = (28 + -98x) + -6x + 13

Reorder the terms:
-147 + 101x = 28 + 13 + -98x + -6x

Combine like terms: 28 + 13 = 41
-147 + 101x = 41 + -98x + -6x

Combine like terms: -98x + -6x = -104x
-147 + 101x = 41 + -104x

Solving
-147 + 101x = 41 + -104x

Solving for variable 'x'.

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

Add '104x' to each side of the equation.
-147 + 101x + 104x = 41 + -104x + 104x

Combine like terms: 101x + 104x = 205x
-147 + 205x = 41 + -104x + 104x

Combine like terms: -104x + 104x = 0
-147 + 205x = 41 + 0
-147 + 205x = 41

Add '147' to each side of the equation.
-147 + 147 + 205x = 41 + 147

Combine like terms: -147 + 147 = 0
0 + 205x = 41 + 147
205x = 41 + 147

Combine like terms: 41 + 147 = 188
205x = 188

Divide each side by '205'.
x = 0.9170731707

Simplifying
x = 0.9170731707

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