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 + -1(4X + 6)

Reorder the terms:
x + -3(-5 + X) = 3 + -1(4X + 6)
x + (-5 * -3 + X * -3) = 3 + -1(4X + 6)
x + (15 + -3X) = 3 + -1(4X + 6)

Reorder the terms:
15 + -3X + x = 3 + -1(4X + 6)

Reorder the terms:
15 + -3X + x = 3 + -1(6 + 4X)
15 + -3X + x = 3 + (6 * -1 + 4X * -1)
15 + -3X + x = 3 + (-6 + -4X)

Combine like terms: 3 + -6 = -3
15 + -3X + x = -3 + -4X

Solving
15 + -3X + x = -3 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
15 + -3X + 4X + x = -3 + -4X + 4X

Combine like terms: -3X + 4X = 1X
15 + 1X + x = -3 + -4X + 4X

Combine like terms: -4X + 4X = 0
15 + 1X + x = -3 + 0
15 + 1X + x = -3

Add '-15' to each side of the equation.
15 + 1X + -15 + x = -3 + -15

Reorder the terms:
15 + -15 + 1X + x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 1X + x = -3 + -15
1X + x = -3 + -15

Combine like terms: -3 + -15 = -18
1X + x = -18

Add '-1x' to each side of the equation.
1X + x + -1x = -18 + -1x

Combine like terms: x + -1x = 0
1X + 0 = -18 + -1x
1X = -18 + -1x

Divide each side by '1'.
X = -18 + -1x

Simplifying
X = -18 + -1x

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