4(x-3)+2=12x-6

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Solution for 4(x-3)+2=12x-6 equation:


Simplifying
4(x + -3) + 2 = 12x + -6

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

Reorder the terms:
-12 + 2 + 4x = 12x + -6

Combine like terms: -12 + 2 = -10
-10 + 4x = 12x + -6

Reorder the terms:
-10 + 4x = -6 + 12x

Solving
-10 + 4x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 4x + -12x = -6 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-10 + -8x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -8x = -6 + 0
-10 + -8x = -6

Add '10' to each side of the equation.
-10 + 10 + -8x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = -6 + 10
-8x = -6 + 10

Combine like terms: -6 + 10 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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