4x-(2x+4)=3x-42

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Solution for 4x-(2x+4)=3x-42 equation: 


Simplifying
4x + -1(2x + 4) = 3x + -42

Reorder the terms:
4x + -1(4 + 2x) = 3x + -42
4x + (4 * -1 + 2x * -1) = 3x + -42
4x + (-4 + -2x) = 3x + -42

Reorder the terms:
-4 + 4x + -2x = 3x + -42

Combine like terms: 4x + -2x = 2x
-4 + 2x = 3x + -42

Reorder the terms:
-4 + 2x = -42 + 3x

Solving
-4 + 2x = -42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 2x + -3x = -42 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = -42 + 0
-4 + -1x = -42

Add '4' to each side of the equation.
-4 + 4 + -1x = -42 + 4

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

Combine like terms: -42 + 4 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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