-24+3(6x-5)=4(2x-3)+x

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Solution for -24+3(6x-5)=4(2x-3)+x equation:


Simplifying
-24 + 3(6x + -5) = 4(2x + -3) + x

Reorder the terms:
-24 + 3(-5 + 6x) = 4(2x + -3) + x
-24 + (-5 * 3 + 6x * 3) = 4(2x + -3) + x
-24 + (-15 + 18x) = 4(2x + -3) + x

Combine like terms: -24 + -15 = -39
-39 + 18x = 4(2x + -3) + x

Reorder the terms:
-39 + 18x = 4(-3 + 2x) + x
-39 + 18x = (-3 * 4 + 2x * 4) + x
-39 + 18x = (-12 + 8x) + x

Combine like terms: 8x + x = 9x
-39 + 18x = -12 + 9x

Solving
-39 + 18x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-39 + 18x + -9x = -12 + 9x + -9x

Combine like terms: 18x + -9x = 9x
-39 + 9x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-39 + 9x = -12 + 0
-39 + 9x = -12

Add '39' to each side of the equation.
-39 + 39 + 9x = -12 + 39

Combine like terms: -39 + 39 = 0
0 + 9x = -12 + 39
9x = -12 + 39

Combine like terms: -12 + 39 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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