3x-1=7-4(6-2x)

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Solution for 3x-1=7-4(6-2x) equation:


Simplifying
3x + -1 = 7 + -4(6 + -2x)

Reorder the terms:
-1 + 3x = 7 + -4(6 + -2x)
-1 + 3x = 7 + (6 * -4 + -2x * -4)
-1 + 3x = 7 + (-24 + 8x)

Combine like terms: 7 + -24 = -17
-1 + 3x = -17 + 8x

Solving
-1 + 3x = -17 + 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.
-1 + 3x + -8x = -17 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = -17 + 0
-1 + -5x = -17

Add '1' to each side of the equation.
-1 + 1 + -5x = -17 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -17 + 1
-5x = -17 + 1

Combine like terms: -17 + 1 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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