8-6(x-3)=2x+30

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Solution for 8-6(x-3)=2x+30 equation:


Simplifying
8 + -6(x + -3) = 2x + 30

Reorder the terms:
8 + -6(-3 + x) = 2x + 30
8 + (-3 * -6 + x * -6) = 2x + 30
8 + (18 + -6x) = 2x + 30

Combine like terms: 8 + 18 = 26
26 + -6x = 2x + 30

Reorder the terms:
26 + -6x = 30 + 2x

Solving
26 + -6x = 30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + -6x + -2x = 30 + 2x + -2x

Combine like terms: -6x + -2x = -8x
26 + -8x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + -8x = 30 + 0
26 + -8x = 30

Add '-26' to each side of the equation.
26 + -26 + -8x = 30 + -26

Combine like terms: 26 + -26 = 0
0 + -8x = 30 + -26
-8x = 30 + -26

Combine like terms: 30 + -26 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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