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

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


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

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

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

Reorder the terms:
-2 + 5x = -1 + -3(-4 + x)
-2 + 5x = -1 + (-4 * -3 + x * -3)
-2 + 5x = -1 + (12 + -3x)

Combine like terms: -1 + 12 = 11
-2 + 5x = 11 + -3x

Solving
-2 + 5x = 11 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 5x + 3x = 11 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-2 + 8x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 8x = 11 + 0
-2 + 8x = 11

Add '2' to each side of the equation.
-2 + 2 + 8x = 11 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 11 + 2
8x = 11 + 2

Combine like terms: 11 + 2 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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