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

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


Simplifying
-5(x + 3) + -1(-8x + -5) = 2x

Reorder the terms:
-5(3 + x) + -1(-8x + -5) = 2x
(3 * -5 + x * -5) + -1(-8x + -5) = 2x
(-15 + -5x) + -1(-8x + -5) = 2x

Reorder the terms:
-15 + -5x + -1(-5 + -8x) = 2x
-15 + -5x + (-5 * -1 + -8x * -1) = 2x
-15 + -5x + (5 + 8x) = 2x

Reorder the terms:
-15 + 5 + -5x + 8x = 2x

Combine like terms: -15 + 5 = -10
-10 + -5x + 8x = 2x

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

Solving
-10 + 3x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = 0

Add '10' to each side of the equation.
-10 + 10 + 1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 0 + 10
1x = 0 + 10

Combine like terms: 0 + 10 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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