3(x+2)-(x-5)=4x-24

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Solution for 3(x+2)-(x-5)=4x-24 equation: 


Simplifying
3(x + 2) + -1(x + -5) = 4x + -24

Reorder the terms:
3(2 + x) + -1(x + -5) = 4x + -24
(2 * 3 + x * 3) + -1(x + -5) = 4x + -24
(6 + 3x) + -1(x + -5) = 4x + -24

Reorder the terms:
6 + 3x + -1(-5 + x) = 4x + -24
6 + 3x + (-5 * -1 + x * -1) = 4x + -24
6 + 3x + (5 + -1x) = 4x + -24

Reorder the terms:
6 + 5 + 3x + -1x = 4x + -24

Combine like terms: 6 + 5 = 11
11 + 3x + -1x = 4x + -24

Combine like terms: 3x + -1x = 2x
11 + 2x = 4x + -24

Reorder the terms:
11 + 2x = -24 + 4x

Solving
11 + 2x = -24 + 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.
11 + 2x + -4x = -24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
11 + -2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -2x = -24 + 0
11 + -2x = -24

Add '-11' to each side of the equation.
11 + -11 + -2x = -24 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -24 + -11
-2x = -24 + -11

Combine like terms: -24 + -11 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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