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

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


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

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

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

Reorder the terms:
6 + 2x = -8 + 5x + -1x

Combine like terms: 5x + -1x = 4x
6 + 2x = -8 + 4x

Solving
6 + 2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 2x + -4x = -8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = -8 + 0
6 + -2x = -8

Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -8 + -6
-2x = -8 + -6

Combine like terms: -8 + -6 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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