10-2(3X+1)=1-4(2x+3)

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Solution for 10-2(3X+1)=1-4(2x+3) equation: 


Simplifying
10 + -2(3X + 1) = 1 + -4(2x + 3)

Reorder the terms:
10 + -2(1 + 3X) = 1 + -4(2x + 3)
10 + (1 * -2 + 3X * -2) = 1 + -4(2x + 3)
10 + (-2 + -6X) = 1 + -4(2x + 3)

Combine like terms: 10 + -2 = 8
8 + -6X = 1 + -4(2x + 3)

Reorder the terms:
8 + -6X = 1 + -4(3 + 2x)
8 + -6X = 1 + (3 * -4 + 2x * -4)
8 + -6X = 1 + (-12 + -8x)

Combine like terms: 1 + -12 = -11
8 + -6X = -11 + -8x

Solving
8 + -6X = -11 + -8x

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + -8 + -6X = -11 + -8 + -8x

Combine like terms: 8 + -8 = 0
0 + -6X = -11 + -8 + -8x
-6X = -11 + -8 + -8x

Combine like terms: -11 + -8 = -19
-6X = -19 + -8x

Divide each side by '-6'.
X = 3.166666667 + 1.333333333x

Simplifying
X = 3.166666667 + 1.333333333x

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