6(5x)-24(2x-3)=36(x)

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Solution for 6(5x)-24(2x-3)=36(x) equation:


Simplifying
6(5x) + -24(2x + -3) = 36(x)

Remove parenthesis around (5x)
6 * 5x + -24(2x + -3) = 36(x)

Multiply 6 * 5
30x + -24(2x + -3) = 36(x)

Reorder the terms:
30x + -24(-3 + 2x) = 36(x)
30x + (-3 * -24 + 2x * -24) = 36(x)
30x + (72 + -48x) = 36(x)

Reorder the terms:
72 + 30x + -48x = 36(x)

Combine like terms: 30x + -48x = -18x
72 + -18x = 36(x)

Solving
72 + -18x = 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
72 + -18x + -36x = 36x + -36x

Combine like terms: -18x + -36x = -54x
72 + -54x = 36x + -36x

Combine like terms: 36x + -36x = 0
72 + -54x = 0

Add '-72' to each side of the equation.
72 + -72 + -54x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -54x = 0 + -72
-54x = 0 + -72

Combine like terms: 0 + -72 = -72
-54x = -72

Divide each side by '-54'.
x = 1.333333333

Simplifying
x = 1.333333333

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