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

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


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

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

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

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

Remove parenthesis around (3 + 8x)
5 + -10x = 6 + 3 + 8x

Combine like terms: 6 + 3 = 9
5 + -10x = 9 + 8x

Solving
5 + -10x = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + -10x + -8x = 9 + 8x + -8x

Combine like terms: -10x + -8x = -18x
5 + -18x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -18x = 9 + 0
5 + -18x = 9

Add '-5' to each side of the equation.
5 + -5 + -18x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -18x = 9 + -5
-18x = 9 + -5

Combine like terms: 9 + -5 = 4
-18x = 4

Divide each side by '-18'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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