5(x-2)-7=38

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Solution for 5(x-2)-7=38 equation:


Simplifying
5(x + -2) + -7 = 38

Reorder the terms:
5(-2 + x) + -7 = 38
(-2 * 5 + x * 5) + -7 = 38
(-10 + 5x) + -7 = 38

Reorder the terms:
-10 + -7 + 5x = 38

Combine like terms: -10 + -7 = -17
-17 + 5x = 38

Solving
-17 + 5x = 38

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x = 38 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 38 + 17
5x = 38 + 17

Combine like terms: 38 + 17 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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