4(x+3)=12x-2

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


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

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

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

Solving
12 + 4x = -2 + 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.
12 + 4x + -12x = -2 + 12x + -12x

Combine like terms: 4x + -12x = -8x
12 + -8x = -2 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -8x = -2 + 0
12 + -8x = -2

Add '-12' to each side of the equation.
12 + -12 + -8x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -2 + -12
-8x = -2 + -12

Combine like terms: -2 + -12 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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