6x-7(-x+4)=37

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Solution for 6x-7(-x+4)=37 equation:


Simplifying
6x + -7(-1x + 4) = 37

Reorder the terms:
6x + -7(4 + -1x) = 37
6x + (4 * -7 + -1x * -7) = 37
6x + (-28 + 7x) = 37

Reorder the terms:
-28 + 6x + 7x = 37

Combine like terms: 6x + 7x = 13x
-28 + 13x = 37

Solving
-28 + 13x = 37

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 13x = 37 + 28

Combine like terms: -28 + 28 = 0
0 + 13x = 37 + 28
13x = 37 + 28

Combine like terms: 37 + 28 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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