10-x=6(x-3)

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


Simplifying
10 + -1x = 6(x + -3)

Reorder the terms:
10 + -1x = 6(-3 + x)
10 + -1x = (-3 * 6 + x * 6)
10 + -1x = (-18 + 6x)

Solving
10 + -1x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -1x + -6x = -18 + 6x + -6x

Combine like terms: -1x + -6x = -7x
10 + -7x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -7x = -18 + 0
10 + -7x = -18

Add '-10' to each side of the equation.
10 + -10 + -7x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -18 + -10
-7x = -18 + -10

Combine like terms: -18 + -10 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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