7x-(4x+6)=6x-48

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Solution for 7x-(4x+6)=6x-48 equation:


Simplifying
7x + -1(4x + 6) = 6x + -48

Reorder the terms:
7x + -1(6 + 4x) = 6x + -48
7x + (6 * -1 + 4x * -1) = 6x + -48
7x + (-6 + -4x) = 6x + -48

Reorder the terms:
-6 + 7x + -4x = 6x + -48

Combine like terms: 7x + -4x = 3x
-6 + 3x = 6x + -48

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

Solving
-6 + 3x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -48 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-6 + -3x = -48 + 0
-6 + -3x = -48

Add '6' to each side of the equation.
-6 + 6 + -3x = -48 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -48 + 6
-3x = -48 + 6

Combine like terms: -48 + 6 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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