5x+8-(2x+6)=x-3

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Solution for 5x+8-(2x+6)=x-3 equation:


Simplifying
5x + 8 + -1(2x + 6) = x + -3

Reorder the terms:
5x + 8 + -1(6 + 2x) = x + -3
5x + 8 + (6 * -1 + 2x * -1) = x + -3
5x + 8 + (-6 + -2x) = x + -3

Reorder the terms:
8 + -6 + 5x + -2x = x + -3

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

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

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

Solving
2 + 3x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = -3 + x + -1x

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

Combine like terms: x + -1x = 0
2 + 2x = -3 + 0
2 + 2x = -3

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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