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

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


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

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

Combine like terms: 2 + 12 = 14
14 + -4x = 3x + 1

Reorder the terms:
14 + -4x = 1 + 3x

Solving
14 + -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.
14 + -4x + -3x = 1 + 3x + -3x

Combine like terms: -4x + -3x = -7x
14 + -7x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -7x = 1 + 0
14 + -7x = 1

Add '-14' to each side of the equation.
14 + -14 + -7x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = 1 + -14
-7x = 1 + -14

Combine like terms: 1 + -14 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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