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

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


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

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

Combine like terms: 6 + 8 = 14
14 + -4x = x + 3(4 + -1x)
14 + -4x = x + (4 * 3 + -1x * 3)
14 + -4x = x + (12 + -3x)

Reorder the terms:
14 + -4x = 12 + x + -3x

Combine like terms: x + -3x = -2x
14 + -4x = 12 + -2x

Solving
14 + -4x = 12 + -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.
14 + -4x + 2x = 12 + -2x + 2x

Combine like terms: -4x + 2x = -2x
14 + -2x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + -2x = 12 + 0
14 + -2x = 12

Add '-14' to each side of the equation.
14 + -14 + -2x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 12 + -14
-2x = 12 + -14

Combine like terms: 12 + -14 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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