X+3(x-1)=8-4(2x+3)

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Solution for X+3(x-1)=8-4(2x+3) equation:


Simplifying
X + 3(x + -1) = 8 + -4(2x + 3)

Reorder the terms:
X + 3(-1 + x) = 8 + -4(2x + 3)
X + (-1 * 3 + x * 3) = 8 + -4(2x + 3)
X + (-3 + 3x) = 8 + -4(2x + 3)

Reorder the terms:
-3 + X + 3x = 8 + -4(2x + 3)

Reorder the terms:
-3 + X + 3x = 8 + -4(3 + 2x)
-3 + X + 3x = 8 + (3 * -4 + 2x * -4)
-3 + X + 3x = 8 + (-12 + -8x)

Combine like terms: 8 + -12 = -4
-3 + X + 3x = -4 + -8x

Solving
-3 + X + 3x = -4 + -8x

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + 3x = -4 + 3 + -8x

Reorder the terms:
-3 + 3 + X + 3x = -4 + 3 + -8x

Combine like terms: -3 + 3 = 0
0 + X + 3x = -4 + 3 + -8x
X + 3x = -4 + 3 + -8x

Combine like terms: -4 + 3 = -1
X + 3x = -1 + -8x

Add '-3x' to each side of the equation.
X + 3x + -3x = -1 + -8x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = -1 + -8x + -3x
X = -1 + -8x + -3x

Combine like terms: -8x + -3x = -11x
X = -1 + -11x

Simplifying
X = -1 + -11x

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