6(x+8)=-3x-2(1-7x)

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Solution for 6(x+8)=-3x-2(1-7x) equation: 


Simplifying
6(x + 8) = -3x + -2(1 + -7x)

Reorder the terms:
6(8 + x) = -3x + -2(1 + -7x)
(8 * 6 + x * 6) = -3x + -2(1 + -7x)
(48 + 6x) = -3x + -2(1 + -7x)
48 + 6x = -3x + (1 * -2 + -7x * -2)
48 + 6x = -3x + (-2 + 14x)

Reorder the terms:
48 + 6x = -2 + -3x + 14x

Combine like terms: -3x + 14x = 11x
48 + 6x = -2 + 11x

Solving
48 + 6x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
48 + 6x + -11x = -2 + 11x + -11x

Combine like terms: 6x + -11x = -5x
48 + -5x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
48 + -5x = -2 + 0
48 + -5x = -2

Add '-48' to each side of the equation.
48 + -48 + -5x = -2 + -48

Combine like terms: 48 + -48 = 0
0 + -5x = -2 + -48
-5x = -2 + -48

Combine like terms: -2 + -48 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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