3(x-5)+15=6(x-3)-24

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Solution for 3(x-5)+15=6(x-3)-24 equation:


Simplifying
3(x + -5) + 15 = 6(x + -3) + -24

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

Reorder the terms:
-15 + 15 + 3x = 6(x + -3) + -24

Combine like terms: -15 + 15 = 0
0 + 3x = 6(x + -3) + -24
3x = 6(x + -3) + -24

Reorder the terms:
3x = 6(-3 + x) + -24
3x = (-3 * 6 + x * 6) + -24
3x = (-18 + 6x) + -24

Reorder the terms:
3x = -18 + -24 + 6x

Combine like terms: -18 + -24 = -42
3x = -42 + 6x

Solving
3x = -42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3x + -6x = -42 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-3x = -42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3x = -42 + 0
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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