-2(8x+11)=6(-4x-13)

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Solution for -2(8x+11)=6(-4x-13) equation:


Simplifying
-2(8x + 11) = 6(-4x + -13)

Reorder the terms:
-2(11 + 8x) = 6(-4x + -13)
(11 * -2 + 8x * -2) = 6(-4x + -13)
(-22 + -16x) = 6(-4x + -13)

Reorder the terms:
-22 + -16x = 6(-13 + -4x)
-22 + -16x = (-13 * 6 + -4x * 6)
-22 + -16x = (-78 + -24x)

Solving
-22 + -16x = -78 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-22 + -16x + 24x = -78 + -24x + 24x

Combine like terms: -16x + 24x = 8x
-22 + 8x = -78 + -24x + 24x

Combine like terms: -24x + 24x = 0
-22 + 8x = -78 + 0
-22 + 8x = -78

Add '22' to each side of the equation.
-22 + 22 + 8x = -78 + 22

Combine like terms: -22 + 22 = 0
0 + 8x = -78 + 22
8x = -78 + 22

Combine like terms: -78 + 22 = -56
8x = -56

Divide each side by '8'.
x = -7

Simplifying
x = -7

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