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

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


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

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

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

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

Combine like terms: 5x + -7x = -2x
-5[-5 + -2x] = -6x + 2
[-5 * -5 + -2x * -5] = -6x + 2
[25 + 10x] = -6x + 2

Reorder the terms:
25 + 10x = 2 + -6x

Solving
25 + 10x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
25 + 10x + 6x = 2 + -6x + 6x

Combine like terms: 10x + 6x = 16x
25 + 16x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
25 + 16x = 2 + 0
25 + 16x = 2

Add '-25' to each side of the equation.
25 + -25 + 16x = 2 + -25

Combine like terms: 25 + -25 = 0
0 + 16x = 2 + -25
16x = 2 + -25

Combine like terms: 2 + -25 = -23
16x = -23

Divide each side by '16'.
x = -1.4375

Simplifying
x = -1.4375

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