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

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


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

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

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

Combine like terms: 4x + -3x = 1x
-12 + 1x = -6

Solving
-12 + 1x = -6

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 1x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -6 + 12
1x = -6 + 12

Combine like terms: -6 + 12 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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