(x-3)10-22=x-10

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Solution for (x-3)10-22=x-10 equation:


Simplifying
(x + -3) * 10 + -22 = x + -10

Reorder the terms:
(-3 + x) * 10 + -22 = x + -10

Reorder the terms for easier multiplication:
10(-3 + x) + -22 = x + -10
(-3 * 10 + x * 10) + -22 = x + -10
(-30 + 10x) + -22 = x + -10

Reorder the terms:
-30 + -22 + 10x = x + -10

Combine like terms: -30 + -22 = -52
-52 + 10x = x + -10

Reorder the terms:
-52 + 10x = -10 + x

Solving
-52 + 10x = -10 + 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.
-52 + 10x + -1x = -10 + x + -1x

Combine like terms: 10x + -1x = 9x
-52 + 9x = -10 + x + -1x

Combine like terms: x + -1x = 0
-52 + 9x = -10 + 0
-52 + 9x = -10

Add '52' to each side of the equation.
-52 + 52 + 9x = -10 + 52

Combine like terms: -52 + 52 = 0
0 + 9x = -10 + 52
9x = -10 + 52

Combine like terms: -10 + 52 = 42
9x = 42

Divide each side by '9'.
x = 4.666666667

Simplifying
x = 4.666666667

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