8x-2(2-3x)=5(x-5)-33

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Solution for 8x-2(2-3x)=5(x-5)-33 equation:


Simplifying
8x + -2(2 + -3x) = 5(x + -5) + -33
8x + (2 * -2 + -3x * -2) = 5(x + -5) + -33
8x + (-4 + 6x) = 5(x + -5) + -33

Reorder the terms:
-4 + 8x + 6x = 5(x + -5) + -33

Combine like terms: 8x + 6x = 14x
-4 + 14x = 5(x + -5) + -33

Reorder the terms:
-4 + 14x = 5(-5 + x) + -33
-4 + 14x = (-5 * 5 + x * 5) + -33
-4 + 14x = (-25 + 5x) + -33

Reorder the terms:
-4 + 14x = -25 + -33 + 5x

Combine like terms: -25 + -33 = -58
-4 + 14x = -58 + 5x

Solving
-4 + 14x = -58 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 14x + -5x = -58 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-4 + 9x = -58 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 9x = -58 + 0
-4 + 9x = -58

Add '4' to each side of the equation.
-4 + 4 + 9x = -58 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = -58 + 4
9x = -58 + 4

Combine like terms: -58 + 4 = -54
9x = -54

Divide each side by '9'.
x = -6

Simplifying
x = -6

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