6+(2-4x)+5=3(1-3x)

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Solution for 6+(2-4x)+5=3(1-3x) equation:


Simplifying
6 + (2 + -4x) + 5 = 3(1 + -3x)

Remove parenthesis around (2 + -4x)
6 + 2 + -4x + 5 = 3(1 + -3x)

Reorder the terms:
6 + 2 + 5 + -4x = 3(1 + -3x)

Combine like terms: 6 + 2 = 8
8 + 5 + -4x = 3(1 + -3x)

Combine like terms: 8 + 5 = 13
13 + -4x = 3(1 + -3x)
13 + -4x = (1 * 3 + -3x * 3)
13 + -4x = (3 + -9x)

Solving
13 + -4x = 3 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
13 + -4x + 9x = 3 + -9x + 9x

Combine like terms: -4x + 9x = 5x
13 + 5x = 3 + -9x + 9x

Combine like terms: -9x + 9x = 0
13 + 5x = 3 + 0
13 + 5x = 3

Add '-13' to each side of the equation.
13 + -13 + 5x = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 3 + -13
5x = 3 + -13

Combine like terms: 3 + -13 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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