5-3(x-3)+8=10

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Solution for 5-3(x-3)+8=10 equation:


Simplifying
5 + -3(x + -3) + 8 = 10

Reorder the terms:
5 + -3(-3 + x) + 8 = 10
5 + (-3 * -3 + x * -3) + 8 = 10
5 + (9 + -3x) + 8 = 10

Reorder the terms:
5 + 9 + 8 + -3x = 10

Combine like terms: 5 + 9 = 14
14 + 8 + -3x = 10

Combine like terms: 14 + 8 = 22
22 + -3x = 10

Solving
22 + -3x = 10

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -3x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 10 + -22
-3x = 10 + -22

Combine like terms: 10 + -22 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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