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

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


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

Reorder the terms:
1 + -3(-4 + x) = 2(3x + 1) + -1
1 + (-4 * -3 + x * -3) = 2(3x + 1) + -1
1 + (12 + -3x) = 2(3x + 1) + -1

Combine like terms: 1 + 12 = 13
13 + -3x = 2(3x + 1) + -1

Reorder the terms:
13 + -3x = 2(1 + 3x) + -1
13 + -3x = (1 * 2 + 3x * 2) + -1
13 + -3x = (2 + 6x) + -1

Reorder the terms:
13 + -3x = 2 + -1 + 6x

Combine like terms: 2 + -1 = 1
13 + -3x = 1 + 6x

Solving
13 + -3x = 1 + 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.
13 + -3x + -6x = 1 + 6x + -6x

Combine like terms: -3x + -6x = -9x
13 + -9x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -9x = 1 + 0
13 + -9x = 1

Add '-13' to each side of the equation.
13 + -13 + -9x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = 1 + -13
-9x = 1 + -13

Combine like terms: 1 + -13 = -12
-9x = -12

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333

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