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

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


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

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

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

Solving
28 + -7x = -37 + 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.
28 + -7x + -6x = -37 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
28 + -13x = -37 + 0
28 + -13x = -37

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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