3(x-5)+1=7

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Solution for 3(x-5)+1=7 equation:


Simplifying
3(x + -5) + 1 = 7

Reorder the terms:
3(-5 + x) + 1 = 7
(-5 * 3 + x * 3) + 1 = 7
(-15 + 3x) + 1 = 7

Reorder the terms:
-15 + 1 + 3x = 7

Combine like terms: -15 + 1 = -14
-14 + 3x = 7

Solving
-14 + 3x = 7

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 7 + 14
3x = 7 + 14

Combine like terms: 7 + 14 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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