5[7x-4-3(x+1)]=-7x-2

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Solution for 5[7x-4-3(x+1)]=-7x-2 equation:


Simplifying
5[7x + -4 + -3(x + 1)] = -7x + -2

Reorder the terms:
5[7x + -4 + -3(1 + x)] = -7x + -2
5[7x + -4 + (1 * -3 + x * -3)] = -7x + -2
5[7x + -4 + (-3 + -3x)] = -7x + -2

Reorder the terms:
5[-4 + -3 + 7x + -3x] = -7x + -2

Combine like terms: -4 + -3 = -7
5[-7 + 7x + -3x] = -7x + -2

Combine like terms: 7x + -3x = 4x
5[-7 + 4x] = -7x + -2
[-7 * 5 + 4x * 5] = -7x + -2
[-35 + 20x] = -7x + -2

Reorder the terms:
-35 + 20x = -2 + -7x

Solving
-35 + 20x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-35 + 20x + 7x = -2 + -7x + 7x

Combine like terms: 20x + 7x = 27x
-35 + 27x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-35 + 27x = -2 + 0
-35 + 27x = -2

Add '35' to each side of the equation.
-35 + 35 + 27x = -2 + 35

Combine like terms: -35 + 35 = 0
0 + 27x = -2 + 35
27x = -2 + 35

Combine like terms: -2 + 35 = 33
27x = 33

Divide each side by '27'.
x = 1.222222222

Simplifying
x = 1.222222222

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