-6(4x-3)+8x-(12x-4)=-62

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Solution for -6(4x-3)+8x-(12x-4)=-62 equation:


Simplifying
-6(4x + -3) + 8x + -1(12x + -4) = -62

Reorder the terms:
-6(-3 + 4x) + 8x + -1(12x + -4) = -62
(-3 * -6 + 4x * -6) + 8x + -1(12x + -4) = -62
(18 + -24x) + 8x + -1(12x + -4) = -62

Reorder the terms:
18 + -24x + 8x + -1(-4 + 12x) = -62
18 + -24x + 8x + (-4 * -1 + 12x * -1) = -62
18 + -24x + 8x + (4 + -12x) = -62

Reorder the terms:
18 + 4 + -24x + 8x + -12x = -62

Combine like terms: 18 + 4 = 22
22 + -24x + 8x + -12x = -62

Combine like terms: -24x + 8x = -16x
22 + -16x + -12x = -62

Combine like terms: -16x + -12x = -28x
22 + -28x = -62

Solving
22 + -28x = -62

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -28x = -62 + -22

Combine like terms: 22 + -22 = 0
0 + -28x = -62 + -22
-28x = -62 + -22

Combine like terms: -62 + -22 = -84
-28x = -84

Divide each side by '-28'.
x = 3

Simplifying
x = 3

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