X-3(x-5)=3(4x+6)

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


Simplifying
X + -3(x + -5) = 3(4x + 6)

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

Reorder the terms:
15 + X + -3x = 3(4x + 6)

Reorder the terms:
15 + X + -3x = 3(6 + 4x)
15 + X + -3x = (6 * 3 + 4x * 3)
15 + X + -3x = (18 + 12x)

Solving
15 + X + -3x = 18 + 12x

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X + -15 + -3x = 18 + -15 + 12x

Reorder the terms:
15 + -15 + X + -3x = 18 + -15 + 12x

Combine like terms: 15 + -15 = 0
0 + X + -3x = 18 + -15 + 12x
X + -3x = 18 + -15 + 12x

Combine like terms: 18 + -15 = 3
X + -3x = 3 + 12x

Add '3x' to each side of the equation.
X + -3x + 3x = 3 + 12x + 3x

Combine like terms: -3x + 3x = 0
X + 0 = 3 + 12x + 3x
X = 3 + 12x + 3x

Combine like terms: 12x + 3x = 15x
X = 3 + 15x

Simplifying
X = 3 + 15x

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