5x-2(x-3)=-8+5x+10

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Solution for 5x-2(x-3)=-8+5x+10 equation:


Simplifying
5x + -2(x + -3) = -8 + 5x + 10

Reorder the terms:
5x + -2(-3 + x) = -8 + 5x + 10
5x + (-3 * -2 + x * -2) = -8 + 5x + 10
5x + (6 + -2x) = -8 + 5x + 10

Reorder the terms:
6 + 5x + -2x = -8 + 5x + 10

Combine like terms: 5x + -2x = 3x
6 + 3x = -8 + 5x + 10

Reorder the terms:
6 + 3x = -8 + 10 + 5x

Combine like terms: -8 + 10 = 2
6 + 3x = 2 + 5x

Solving
6 + 3x = 2 + 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.
6 + 3x + -5x = 2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -2x = 2 + 0
6 + -2x = 2

Add '-6' to each side of the equation.
6 + -6 + -2x = 2 + -6

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

Combine like terms: 2 + -6 = -4
-2x = -4

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

Simplifying
x = 2

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