3x-(4x+6)=5x-42

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Solution for 3x-(4x+6)=5x-42 equation:


Simplifying
3x + -1(4x + 6) = 5x + -42

Reorder the terms:
3x + -1(6 + 4x) = 5x + -42
3x + (6 * -1 + 4x * -1) = 5x + -42
3x + (-6 + -4x) = 5x + -42

Reorder the terms:
-6 + 3x + -4x = 5x + -42

Combine like terms: 3x + -4x = -1x
-6 + -1x = 5x + -42

Reorder the terms:
-6 + -1x = -42 + 5x

Solving
-6 + -1x = -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.
-6 + -1x + -5x = -42 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-6 + -6x = -42 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -6x = -42 + 0
-6 + -6x = -42

Add '6' to each side of the equation.
-6 + 6 + -6x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -42 + 6
-6x = -42 + 6

Combine like terms: -42 + 6 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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