6x-(3x+2)=4x-48

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Solution for 6x-(3x+2)=4x-48 equation:


Simplifying
6x + -1(3x + 2) = 4x + -48

Reorder the terms:
6x + -1(2 + 3x) = 4x + -48
6x + (2 * -1 + 3x * -1) = 4x + -48
6x + (-2 + -3x) = 4x + -48

Reorder the terms:
-2 + 6x + -3x = 4x + -48

Combine like terms: 6x + -3x = 3x
-2 + 3x = 4x + -48

Reorder the terms:
-2 + 3x = -48 + 4x

Solving
-2 + 3x = -48 + 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.
-2 + 3x + -4x = -48 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-2 + -1x = -48 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -1x = -48 + 0
-2 + -1x = -48

Add '2' to each side of the equation.
-2 + 2 + -1x = -48 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -48 + 2
-1x = -48 + 2

Combine like terms: -48 + 2 = -46
-1x = -46

Divide each side by '-1'.
x = 46

Simplifying
x = 46

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