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

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


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

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

Reorder the terms:
3 + -4x = -8 + -7 + 2x

Combine like terms: -8 + -7 = -15
3 + -4x = -15 + 2x

Solving
3 + -4x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -4x + -2x = -15 + 2x + -2x

Combine like terms: -4x + -2x = -6x
3 + -6x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -6x = -15 + 0
3 + -6x = -15

Add '-3' to each side of the equation.
3 + -3 + -6x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -15 + -3
-6x = -15 + -3

Combine like terms: -15 + -3 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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