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

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


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

Reorder the terms:
6(-3 + 2x) + 8x = -1x + -3(-5x + 2)
(-3 * 6 + 2x * 6) + 8x = -1x + -3(-5x + 2)
(-18 + 12x) + 8x = -1x + -3(-5x + 2)

Combine like terms: 12x + 8x = 20x
-18 + 20x = -1x + -3(-5x + 2)

Reorder the terms:
-18 + 20x = -1x + -3(2 + -5x)
-18 + 20x = -1x + (2 * -3 + -5x * -3)
-18 + 20x = -1x + (-6 + 15x)

Reorder the terms:
-18 + 20x = -6 + -1x + 15x

Combine like terms: -1x + 15x = 14x
-18 + 20x = -6 + 14x

Solving
-18 + 20x = -6 + 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.
-18 + 20x + -14x = -6 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-18 + 6x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
-18 + 6x = -6 + 0
-18 + 6x = -6

Add '18' to each side of the equation.
-18 + 18 + 6x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -6 + 18
6x = -6 + 18

Combine like terms: -6 + 18 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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