7[-2x-5+3(x+1)]=3x-6

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Solution for 7[-2x-5+3(x+1)]=3x-6 equation:


Simplifying
7[-2x + -5 + 3(x + 1)] = 3x + -6

Reorder the terms:
7[-2x + -5 + 3(1 + x)] = 3x + -6
7[-2x + -5 + (1 * 3 + x * 3)] = 3x + -6
7[-2x + -5 + (3 + 3x)] = 3x + -6

Reorder the terms:
7[-5 + 3 + -2x + 3x] = 3x + -6

Combine like terms: -5 + 3 = -2
7[-2 + -2x + 3x] = 3x + -6

Combine like terms: -2x + 3x = 1x
7[-2 + 1x] = 3x + -6
[-2 * 7 + 1x * 7] = 3x + -6
[-14 + 7x] = 3x + -6

Reorder the terms:
-14 + 7x = -6 + 3x

Solving
-14 + 7x = -6 + 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.
-14 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-14 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 4x = -6 + 0
-14 + 4x = -6

Add '14' to each side of the equation.
-14 + 14 + 4x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -6 + 14
4x = -6 + 14

Combine like terms: -6 + 14 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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