5x+6(8x-2)=6(8x-4)-8

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Solution for 5x+6(8x-2)=6(8x-4)-8 equation:


Simplifying
5x + 6(8x + -2) = 6(8x + -4) + -8

Reorder the terms:
5x + 6(-2 + 8x) = 6(8x + -4) + -8
5x + (-2 * 6 + 8x * 6) = 6(8x + -4) + -8
5x + (-12 + 48x) = 6(8x + -4) + -8

Reorder the terms:
-12 + 5x + 48x = 6(8x + -4) + -8

Combine like terms: 5x + 48x = 53x
-12 + 53x = 6(8x + -4) + -8

Reorder the terms:
-12 + 53x = 6(-4 + 8x) + -8
-12 + 53x = (-4 * 6 + 8x * 6) + -8
-12 + 53x = (-24 + 48x) + -8

Reorder the terms:
-12 + 53x = -24 + -8 + 48x

Combine like terms: -24 + -8 = -32
-12 + 53x = -32 + 48x

Solving
-12 + 53x = -32 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-12 + 53x + -48x = -32 + 48x + -48x

Combine like terms: 53x + -48x = 5x
-12 + 5x = -32 + 48x + -48x

Combine like terms: 48x + -48x = 0
-12 + 5x = -32 + 0
-12 + 5x = -32

Add '12' to each side of the equation.
-12 + 12 + 5x = -32 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -32 + 12
5x = -32 + 12

Combine like terms: -32 + 12 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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