8x-(3x+2)=3x-10

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Solution for 8x-(3x+2)=3x-10 equation:


Simplifying
8x + -1(3x + 2) = 3x + -10

Reorder the terms:
8x + -1(2 + 3x) = 3x + -10
8x + (2 * -1 + 3x * -1) = 3x + -10
8x + (-2 + -3x) = 3x + -10

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

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

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

Solving
-2 + 5x = -10 + 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.
-2 + 5x + -3x = -10 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + 2x = -10 + 0
-2 + 2x = -10

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

Combine like terms: -2 + 2 = 0
0 + 2x = -10 + 2
2x = -10 + 2

Combine like terms: -10 + 2 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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