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

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


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

Reorder the terms:
3[2 + -4(-3 + x)] = -7 + -1(4x + -2)
3[2 + (-3 * -4 + x * -4)] = -7 + -1(4x + -2)
3[2 + (12 + -4x)] = -7 + -1(4x + -2)

Combine like terms: 2 + 12 = 14
3[14 + -4x] = -7 + -1(4x + -2)
[14 * 3 + -4x * 3] = -7 + -1(4x + -2)
[42 + -12x] = -7 + -1(4x + -2)

Reorder the terms:
42 + -12x = -7 + -1(-2 + 4x)
42 + -12x = -7 + (-2 * -1 + 4x * -1)
42 + -12x = -7 + (2 + -4x)

Combine like terms: -7 + 2 = -5
42 + -12x = -5 + -4x

Solving
42 + -12x = -5 + -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.
42 + -12x + 4x = -5 + -4x + 4x

Combine like terms: -12x + 4x = -8x
42 + -8x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
42 + -8x = -5 + 0
42 + -8x = -5

Add '-42' to each side of the equation.
42 + -42 + -8x = -5 + -42

Combine like terms: 42 + -42 = 0
0 + -8x = -5 + -42
-8x = -5 + -42

Combine like terms: -5 + -42 = -47
-8x = -47

Divide each side by '-8'.
x = 5.875

Simplifying
x = 5.875

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