4(x-3)=42-5x

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Solution for 4(x-3)=42-5x equation:


Simplifying
4(x + -3) = 42 + -5x

Reorder the terms:
4(-3 + x) = 42 + -5x
(-3 * 4 + x * 4) = 42 + -5x
(-12 + 4x) = 42 + -5x

Solving
-12 + 4x = 42 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 4x + 5x = 42 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-12 + 9x = 42 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 9x = 42 + 0
-12 + 9x = 42

Add '12' to each side of the equation.
-12 + 12 + 9x = 42 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 42 + 12
9x = 42 + 12

Combine like terms: 42 + 12 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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