4x-7(n-3)=42

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Solution for 4x-7(n-3)=42 equation:


Simplifying
4x + -7(n + -3) = 42

Reorder the terms:
4x + -7(-3 + n) = 42
4x + (-3 * -7 + n * -7) = 42
4x + (21 + -7n) = 42

Reorder the terms:
21 + -7n + 4x = 42

Solving
21 + -7n + 4x = 42

Solving for variable 'n'.

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

Add '-21' to each side of the equation.
21 + -7n + -21 + 4x = 42 + -21

Reorder the terms:
21 + -21 + -7n + 4x = 42 + -21

Combine like terms: 21 + -21 = 0
0 + -7n + 4x = 42 + -21
-7n + 4x = 42 + -21

Combine like terms: 42 + -21 = 21
-7n + 4x = 21

Add '-4x' to each side of the equation.
-7n + 4x + -4x = 21 + -4x

Combine like terms: 4x + -4x = 0
-7n + 0 = 21 + -4x
-7n = 21 + -4x

Divide each side by '-7'.
n = -3 + 0.5714285714x

Simplifying
n = -3 + 0.5714285714x

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