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 = 10x
-12 + 10x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 10x = -2 + 0
-12 + 10x = -2

Add '12' to each side of the equation.
-12 + 12 + 10x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = -2 + 12
10x = -2 + 12

Combine like terms: -2 + 12 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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