3[6-(x+2)]-6=4(7-x)

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Solution for 3[6-(x+2)]-6=4(7-x) equation:


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

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

Combine like terms: 6 + -2 = 4
3[4 + -1x] + -6 = 4(7 + -1x)
[4 * 3 + -1x * 3] + -6 = 4(7 + -1x)
[12 + -3x] + -6 = 4(7 + -1x)

Reorder the terms:
12 + -6 + -3x = 4(7 + -1x)

Combine like terms: 12 + -6 = 6
6 + -3x = 4(7 + -1x)
6 + -3x = (7 * 4 + -1x * 4)
6 + -3x = (28 + -4x)

Solving
6 + -3x = 28 + -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 = 28 + -4x + 4x

Combine like terms: -3x + 4x = 1x
6 + 1x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 1x = 28 + 0
6 + 1x = 28

Add '-6' to each side of the equation.
6 + -6 + 1x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 28 + -6
1x = 28 + -6

Combine like terms: 28 + -6 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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