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

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


Simplifying
6 + -3x = 4(4 + -1x) + -6
6 + -3x = (4 * 4 + -1x * 4) + -6
6 + -3x = (16 + -4x) + -6

Reorder the terms:
6 + -3x = 16 + -6 + -4x

Combine like terms: 16 + -6 = 10
6 + -3x = 10 + -4x

Solving
6 + -3x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + -3x + 4x = 10 + -4x + 4x

Combine like terms: -3x + 4x = 1x
6 + 1x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 1x = 10 + 0
6 + 1x = 10

Add '-6' to each side of the equation.
6 + -6 + 1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 10 + -6
1x = 10 + -6

Combine like terms: 10 + -6 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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