-2x-7(8-5x)-4=x-2+3x

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Solution for -2x-7(8-5x)-4=x-2+3x equation:


Simplifying
-2x + -7(8 + -5x) + -4 = x + -2 + 3x
-2x + (8 * -7 + -5x * -7) + -4 = x + -2 + 3x
-2x + (-56 + 35x) + -4 = x + -2 + 3x

Reorder the terms:
-56 + -4 + -2x + 35x = x + -2 + 3x

Combine like terms: -56 + -4 = -60
-60 + -2x + 35x = x + -2 + 3x

Combine like terms: -2x + 35x = 33x
-60 + 33x = x + -2 + 3x

Reorder the terms:
-60 + 33x = -2 + x + 3x

Combine like terms: x + 3x = 4x
-60 + 33x = -2 + 4x

Solving
-60 + 33x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-60 + 33x + -4x = -2 + 4x + -4x

Combine like terms: 33x + -4x = 29x
-60 + 29x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-60 + 29x = -2 + 0
-60 + 29x = -2

Add '60' to each side of the equation.
-60 + 60 + 29x = -2 + 60

Combine like terms: -60 + 60 = 0
0 + 29x = -2 + 60
29x = -2 + 60

Combine like terms: -2 + 60 = 58
29x = 58

Divide each side by '29'.
x = 2

Simplifying
x = 2

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