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

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


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

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

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

Combine like terms: 6x + -5x = 1x
-7 + 1x = 5x + -47

Reorder the terms:
-7 + 1x = -47 + 5x

Solving
-7 + 1x = -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.
-7 + 1x + -5x = -47 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-7 + -4x = -47 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -4x = -47 + 0
-7 + -4x = -47

Add '7' to each side of the equation.
-7 + 7 + -4x = -47 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -47 + 7
-4x = -47 + 7

Combine like terms: -47 + 7 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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