10+-3(x-6)=x+30

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Solution for 10+-3(x-6)=x+30 equation:


Simplifying
10 + -3(x + -6) = x + 30

Reorder the terms:
10 + -3(-6 + x) = x + 30
10 + (-6 * -3 + x * -3) = x + 30
10 + (18 + -3x) = x + 30

Combine like terms: 10 + 18 = 28
28 + -3x = x + 30

Reorder the terms:
28 + -3x = 30 + x

Solving
28 + -3x = 30 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + -3x + -1x = 30 + x + -1x

Combine like terms: -3x + -1x = -4x
28 + -4x = 30 + x + -1x

Combine like terms: x + -1x = 0
28 + -4x = 30 + 0
28 + -4x = 30

Add '-28' to each side of the equation.
28 + -28 + -4x = 30 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = 30 + -28
-4x = 30 + -28

Combine like terms: 30 + -28 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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