8-(-3x-2)=4(3x-1)

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Solution for 8-(-3x-2)=4(3x-1) equation:


Simplifying
8 + -1(-3x + -2) = 4(3x + -1)

Reorder the terms:
8 + -1(-2 + -3x) = 4(3x + -1)
8 + (-2 * -1 + -3x * -1) = 4(3x + -1)
8 + (2 + 3x) = 4(3x + -1)

Combine like terms: 8 + 2 = 10
10 + 3x = 4(3x + -1)

Reorder the terms:
10 + 3x = 4(-1 + 3x)
10 + 3x = (-1 * 4 + 3x * 4)
10 + 3x = (-4 + 12x)

Solving
10 + 3x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 3x + -12x = -4 + 12x + -12x

Combine like terms: 3x + -12x = -9x
10 + -9x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -9x = -4 + 0
10 + -9x = -4

Add '-10' to each side of the equation.
10 + -10 + -9x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -4 + -10
-9x = -4 + -10

Combine like terms: -4 + -10 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

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