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

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


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

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

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

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

Reorder the terms:
-3 + 2x = 6 + -4(3 + 2x)
-3 + 2x = 6 + (3 * -4 + 2x * -4)
-3 + 2x = 6 + (-12 + -8x)

Combine like terms: 6 + -12 = -6
-3 + 2x = -6 + -8x

Solving
-3 + 2x = -6 + -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.
-3 + 2x + 8x = -6 + -8x + 8x

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

Combine like terms: -8x + 8x = 0
-3 + 10x = -6 + 0
-3 + 10x = -6

Add '3' to each side of the equation.
-3 + 3 + 10x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = -6 + 3
10x = -6 + 3

Combine like terms: -6 + 3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3

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