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

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


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

Combine like terms: 3x + -1x = 2x
4[2x + -1(2x) + 5] = -1(2 + 7x)

Remove parenthesis around (2x)
4[2x + -1 * 2x + 5] = -1(2 + 7x)

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

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

Combine like terms: 2x + -2x = 0
4[5 + 0] = -1(2 + 7x)
4[5] = -1(2 + 7x)

Multiply 4 * 5
20 = -1(2 + 7x)
20 = (2 * -1 + 7x * -1)
20 = (-2 + -7x)

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

Combine like terms: -7x + 7x = 0
20 + 7x = -2 + 0
20 + 7x = -2

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

Combine like terms: 20 + -20 = 0
0 + 7x = -2 + -20
7x = -2 + -20

Combine like terms: -2 + -20 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143

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