-5(-9x-2)+6=-6x-7

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Solution for -5(-9x-2)+6=-6x-7 equation:


Simplifying
-5(-9x + -2) + 6 = -6x + -7

Reorder the terms:
-5(-2 + -9x) + 6 = -6x + -7
(-2 * -5 + -9x * -5) + 6 = -6x + -7
(10 + 45x) + 6 = -6x + -7

Reorder the terms:
10 + 6 + 45x = -6x + -7

Combine like terms: 10 + 6 = 16
16 + 45x = -6x + -7

Reorder the terms:
16 + 45x = -7 + -6x

Solving
16 + 45x = -7 + -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.
16 + 45x + 6x = -7 + -6x + 6x

Combine like terms: 45x + 6x = 51x
16 + 51x = -7 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 51x = -7 + 0
16 + 51x = -7

Add '-16' to each side of the equation.
16 + -16 + 51x = -7 + -16

Combine like terms: 16 + -16 = 0
0 + 51x = -7 + -16
51x = -7 + -16

Combine like terms: -7 + -16 = -23
51x = -23

Divide each side by '51'.
x = -0.4509803922

Simplifying
x = -0.4509803922

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