2x-5(x-2)=-8+3x-24

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Solution for 2x-5(x-2)=-8+3x-24 equation: 


Simplifying
2x + -5(x + -2) = -8 + 3x + -24

Reorder the terms:
2x + -5(-2 + x) = -8 + 3x + -24
2x + (-2 * -5 + x * -5) = -8 + 3x + -24
2x + (10 + -5x) = -8 + 3x + -24

Reorder the terms:
10 + 2x + -5x = -8 + 3x + -24

Combine like terms: 2x + -5x = -3x
10 + -3x = -8 + 3x + -24

Reorder the terms:
10 + -3x = -8 + -24 + 3x

Combine like terms: -8 + -24 = -32
10 + -3x = -32 + 3x

Solving
10 + -3x = -32 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -3x + -3x = -32 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -32 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -32 + 0
10 + -6x = -32

Add '-10' to each side of the equation.
10 + -10 + -6x = -32 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -32 + -10
-6x = -32 + -10

Combine like terms: -32 + -10 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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