8-5(2x+1)=2-6(x-3)

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Solution for 8-5(2x+1)=2-6(x-3) equation:


Simplifying
8 + -5(2x + 1) = 2 + -6(x + -3)

Reorder the terms:
8 + -5(1 + 2x) = 2 + -6(x + -3)
8 + (1 * -5 + 2x * -5) = 2 + -6(x + -3)
8 + (-5 + -10x) = 2 + -6(x + -3)

Combine like terms: 8 + -5 = 3
3 + -10x = 2 + -6(x + -3)

Reorder the terms:
3 + -10x = 2 + -6(-3 + x)
3 + -10x = 2 + (-3 * -6 + x * -6)
3 + -10x = 2 + (18 + -6x)

Combine like terms: 2 + 18 = 20
3 + -10x = 20 + -6x

Solving
3 + -10x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + -10x + 6x = 20 + -6x + 6x

Combine like terms: -10x + 6x = -4x
3 + -4x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + -4x = 20 + 0
3 + -4x = 20

Add '-3' to each side of the equation.
3 + -3 + -4x = 20 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 20 + -3
-4x = 20 + -3

Combine like terms: 20 + -3 = 17
-4x = 17

Divide each side by '-4'.
x = -4.25

Simplifying
x = -4.25

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