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

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


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

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

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

Solving
-12 + 4x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 4x + -6x = 2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-12 + -2x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -2x = 2 + 0
-12 + -2x = 2

Add '12' to each side of the equation.
-12 + 12 + -2x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 2 + 12
-2x = 2 + 12

Combine like terms: 2 + 12 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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