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

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


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

Combine like terms: 2 + -3 = -1
5x + -2(-1) = 3(x + -4) + -24

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

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

Reorder the terms:
2 + 5x = 3(-4 + x) + -24
2 + 5x = (-4 * 3 + x * 3) + -24
2 + 5x = (-12 + 3x) + -24

Reorder the terms:
2 + 5x = -12 + -24 + 3x

Combine like terms: -12 + -24 = -36
2 + 5x = -36 + 3x

Solving
2 + 5x = -36 + 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.
2 + 5x + -3x = -36 + 3x + -3x

Combine like terms: 5x + -3x = 2x
2 + 2x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 2x = -36 + 0
2 + 2x = -36

Add '-2' to each side of the equation.
2 + -2 + 2x = -36 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -36 + -2
2x = -36 + -2

Combine like terms: -36 + -2 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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