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

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


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

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

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

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

Reorder the terms:
-6 + -7x + -6x = 3x

Combine like terms: -7x + -6x = -13x
-6 + -13x = 3x

Solving
-6 + -13x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -13x + -3x = 3x + -3x

Combine like terms: -13x + -3x = -16x
-6 + -16x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -16x = 0

Add '6' to each side of the equation.
-6 + 6 + -16x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -16x = 0 + 6
-16x = 0 + 6

Combine like terms: 0 + 6 = 6
-16x = 6

Divide each side by '-16'.
x = -0.375

Simplifying
x = -0.375

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