7x-(3x+6)=5x-47

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Solution for 7x-(3x+6)=5x-47 equation:


Simplifying
7x + -1(3x + 6) = 5x + -47

Reorder the terms:
7x + -1(6 + 3x) = 5x + -47
7x + (6 * -1 + 3x * -1) = 5x + -47
7x + (-6 + -3x) = 5x + -47

Reorder the terms:
-6 + 7x + -3x = 5x + -47

Combine like terms: 7x + -3x = 4x
-6 + 4x = 5x + -47

Reorder the terms:
-6 + 4x = -47 + 5x

Solving
-6 + 4x = -47 + 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 + 4x + -5x = -47 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -1x = -47 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -1x = -47 + 0
-6 + -1x = -47

Add '6' to each side of the equation.
-6 + 6 + -1x = -47 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -47 + 6
-1x = -47 + 6

Combine like terms: -47 + 6 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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