x-10=3(x-6)

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


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

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

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

Solving
-10 + x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + x + -3x = -18 + 3x + -3x

Combine like terms: x + -3x = -2x
-10 + -2x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -2x = -18 + 0
-10 + -2x = -18

Add '10' to each side of the equation.
-10 + 10 + -2x = -18 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -18 + 10
-2x = -18 + 10

Combine like terms: -18 + 10 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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