4x-7(x-3)=42

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


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

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

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

Combine like terms: 4x + -7x = -3x
21 + -3x = 42

Solving
21 + -3x = 42

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -3x = 42 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = 42 + -21
-3x = 42 + -21

Combine like terms: 42 + -21 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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