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

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


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

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

Reorder the terms:
-3 + 6x + -1x = 2x + 5

Combine like terms: 6x + -1x = 5x
-3 + 5x = 2x + 5

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

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

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

Combine like terms: 2x + -2x = 0
-3 + 3x = 5 + 0
-3 + 3x = 5

Add '3' to each side of the equation.
-3 + 3 + 3x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 5 + 3
3x = 5 + 3

Combine like terms: 5 + 3 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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