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

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


Simplifying
4(3 + -2x) + 6x = 1 + -3(x + -4)
(3 * 4 + -2x * 4) + 6x = 1 + -3(x + -4)
(12 + -8x) + 6x = 1 + -3(x + -4)

Combine like terms: -8x + 6x = -2x
12 + -2x = 1 + -3(x + -4)

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

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

Solving
12 + -2x = 13 + -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.
12 + -2x + 3x = 13 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
12 + 1x = 13 + 0
12 + 1x = 13

Add '-12' to each side of the equation.
12 + -12 + 1x = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 13 + -12
1x = 13 + -12

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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