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

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


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

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

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

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

Combine like terms: 6x + 3x = 9x
5 + -1x = -4 + 9x

Solving
5 + -1x = -4 + 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.
5 + -1x + -9x = -4 + 9x + -9x

Combine like terms: -1x + -9x = -10x
5 + -10x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -10x = -4 + 0
5 + -10x = -4

Add '-5' to each side of the equation.
5 + -5 + -10x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = -4 + -5
-10x = -4 + -5

Combine like terms: -4 + -5 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9

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