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

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


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

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

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

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

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

Solving
-1 + 2x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
-1 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
-1 + 3x = 8 + 0
-1 + 3x = 8

Add '1' to each side of the equation.
-1 + 1 + 3x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 8 + 1
3x = 8 + 1

Combine like terms: 8 + 1 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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