12-4(x-2)=3x+1

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Solution for 12-4(x-2)=3x+1 equation:


Simplifying
12 + -4(x + -2) = 3x + 1

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

Combine like terms: 12 + 8 = 20
20 + -4x = 3x + 1

Reorder the terms:
20 + -4x = 1 + 3x

Solving
20 + -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.
20 + -4x + -3x = 1 + 3x + -3x

Combine like terms: -4x + -3x = -7x
20 + -7x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -7x = 1 + 0
20 + -7x = 1

Add '-20' to each side of the equation.
20 + -20 + -7x = 1 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = 1 + -20
-7x = 1 + -20

Combine like terms: 1 + -20 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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