8x-(5x+2)=6x-32

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Solution for 8x-(5x+2)=6x-32 equation:


Simplifying
8x + -1(5x + 2) = 6x + -32

Reorder the terms:
8x + -1(2 + 5x) = 6x + -32
8x + (2 * -1 + 5x * -1) = 6x + -32
8x + (-2 + -5x) = 6x + -32

Reorder the terms:
-2 + 8x + -5x = 6x + -32

Combine like terms: 8x + -5x = 3x
-2 + 3x = 6x + -32

Reorder the terms:
-2 + 3x = -32 + 6x

Solving
-2 + 3x = -32 + 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.
-2 + 3x + -6x = -32 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-2 + -3x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -3x = -32 + 0
-2 + -3x = -32

Add '2' to each side of the equation.
-2 + 2 + -3x = -32 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -32 + 2
-3x = -32 + 2

Combine like terms: -32 + 2 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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