2x+7-(x+8)=3x-24

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Solution for 2x+7-(x+8)=3x-24 equation:


Simplifying
2x + 7 + -1(x + 8) = 3x + -24

Reorder the terms:
2x + 7 + -1(8 + x) = 3x + -24
2x + 7 + (8 * -1 + x * -1) = 3x + -24
2x + 7 + (-8 + -1x) = 3x + -24

Reorder the terms:
7 + -8 + 2x + -1x = 3x + -24

Combine like terms: 7 + -8 = -1
-1 + 2x + -1x = 3x + -24

Combine like terms: 2x + -1x = 1x
-1 + 1x = 3x + -24

Reorder the terms:
-1 + 1x = -24 + 3x

Solving
-1 + 1x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 1x + -3x = -24 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-1 + -2x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -2x = -24 + 0
-1 + -2x = -24

Add '1' to each side of the equation.
-1 + 1 + -2x = -24 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -24 + 1
-2x = -24 + 1

Combine like terms: -24 + 1 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5

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