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

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


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

Reorder the terms:
-6(8 + 5x) = 2(8 + -7x)
(8 * -6 + 5x * -6) = 2(8 + -7x)
(-48 + -30x) = 2(8 + -7x)
-48 + -30x = (8 * 2 + -7x * 2)
-48 + -30x = (16 + -14x)

Solving
-48 + -30x = 16 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-48 + -30x + 14x = 16 + -14x + 14x

Combine like terms: -30x + 14x = -16x
-48 + -16x = 16 + -14x + 14x

Combine like terms: -14x + 14x = 0
-48 + -16x = 16 + 0
-48 + -16x = 16

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

Combine like terms: -48 + 48 = 0
0 + -16x = 16 + 48
-16x = 16 + 48

Combine like terms: 16 + 48 = 64
-16x = 64

Divide each side by '-16'.
x = -4

Simplifying
x = -4

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