6x-3(5x+2)=24(1-x)

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Solution for 6x-3(5x+2)=24(1-x) equation:


Simplifying
6x + -3(5x + 2) = 24(1 + -1x)

Reorder the terms:
6x + -3(2 + 5x) = 24(1 + -1x)
6x + (2 * -3 + 5x * -3) = 24(1 + -1x)
6x + (-6 + -15x) = 24(1 + -1x)

Reorder the terms:
-6 + 6x + -15x = 24(1 + -1x)

Combine like terms: 6x + -15x = -9x
-6 + -9x = 24(1 + -1x)
-6 + -9x = (1 * 24 + -1x * 24)
-6 + -9x = (24 + -24x)

Solving
-6 + -9x = 24 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-6 + -9x + 24x = 24 + -24x + 24x

Combine like terms: -9x + 24x = 15x
-6 + 15x = 24 + -24x + 24x

Combine like terms: -24x + 24x = 0
-6 + 15x = 24 + 0
-6 + 15x = 24

Add '6' to each side of the equation.
-6 + 6 + 15x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 24 + 6
15x = 24 + 6

Combine like terms: 24 + 6 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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