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

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


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

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

Combine like terms: 8 + 18 = 26
26 + -6x = -4x + 12

Reorder the terms:
26 + -6x = 12 + -4x

Solving
26 + -6x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
26 + -6x + 4x = 12 + -4x + 4x

Combine like terms: -6x + 4x = -2x
26 + -2x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
26 + -2x = 12 + 0
26 + -2x = 12

Add '-26' to each side of the equation.
26 + -26 + -2x = 12 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 12 + -26
-2x = 12 + -26

Combine like terms: 12 + -26 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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