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

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


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

Reorder the terms:
4(3 + X) = 3(1) + -1(2 + -3X)
(3 * 4 + X * 4) = 3(1) + -1(2 + -3X)
(12 + 4X) = 3(1) + -1(2 + -3X)

Multiply 3 * 1
12 + 4X = 3 + -1(2 + -3X)
12 + 4X = 3 + (2 * -1 + -3X * -1)
12 + 4X = 3 + (-2 + 3X)

Combine like terms: 3 + -2 = 1
12 + 4X = 1 + 3X

Solving
12 + 4X = 1 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
12 + 4X + -3X = 1 + 3X + -3X

Combine like terms: 4X + -3X = 1X
12 + 1X = 1 + 3X + -3X

Combine like terms: 3X + -3X = 0
12 + 1X = 1 + 0
12 + 1X = 1

Add '-12' to each side of the equation.
12 + -12 + 1X = 1 + -12

Combine like terms: 12 + -12 = 0
0 + 1X = 1 + -12
1X = 1 + -12

Combine like terms: 1 + -12 = -11
1X = -11

Divide each side by '1'.
X = -11

Simplifying
X = -11

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