-8(-2x-6)=7(5x-1)-2

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Solution for -8(-2x-6)=7(5x-1)-2 equation: 


Simplifying
-8(-2x + -6) = 7(5x + -1) + -2

Reorder the terms:
-8(-6 + -2x) = 7(5x + -1) + -2
(-6 * -8 + -2x * -8) = 7(5x + -1) + -2
(48 + 16x) = 7(5x + -1) + -2

Reorder the terms:
48 + 16x = 7(-1 + 5x) + -2
48 + 16x = (-1 * 7 + 5x * 7) + -2
48 + 16x = (-7 + 35x) + -2

Reorder the terms:
48 + 16x = -7 + -2 + 35x

Combine like terms: -7 + -2 = -9
48 + 16x = -9 + 35x

Solving
48 + 16x = -9 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
48 + 16x + -35x = -9 + 35x + -35x

Combine like terms: 16x + -35x = -19x
48 + -19x = -9 + 35x + -35x

Combine like terms: 35x + -35x = 0
48 + -19x = -9 + 0
48 + -19x = -9

Add '-48' to each side of the equation.
48 + -48 + -19x = -9 + -48

Combine like terms: 48 + -48 = 0
0 + -19x = -9 + -48
-19x = -9 + -48

Combine like terms: -9 + -48 = -57
-19x = -57

Divide each side by '-19'.
x = 3

Simplifying
x = 3

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