3(x-6)=4x+42

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Solution for 3(x-6)=4x+42 equation:


Simplifying
3(x + -6) = 4x + 42

Reorder the terms:
3(-6 + x) = 4x + 42
(-6 * 3 + x * 3) = 4x + 42
(-18 + 3x) = 4x + 42

Reorder the terms:
-18 + 3x = 42 + 4x

Solving
-18 + 3x = 42 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 3x + -4x = 42 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-18 + -1x = 42 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -1x = 42 + 0
-18 + -1x = 42

Add '18' to each side of the equation.
-18 + 18 + -1x = 42 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 42 + 18
-1x = 42 + 18

Combine like terms: 42 + 18 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60

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