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

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


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

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

Combine like terms: -2 + -4 = -6
-6 + 4x = 3(x + 4) + -12

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

Reorder the terms:
-6 + 4x = 12 + -12 + 3x

Combine like terms: 12 + -12 = 0
-6 + 4x = 0 + 3x
-6 + 4x = 3x

Solving
-6 + 4x = 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.
-6 + 4x + -3x = 3x + -3x

Combine like terms: 4x + -3x = 1x
-6 + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 1x = 0

Add '6' to each side of the equation.
-6 + 6 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 0 + 6
1x = 0 + 6

Combine like terms: 0 + 6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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