6(-6x+7)=4x-38

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Solution for 6(-6x+7)=4x-38 equation:


Simplifying
6(-6x + 7) = 4x + -38

Reorder the terms:
6(7 + -6x) = 4x + -38
(7 * 6 + -6x * 6) = 4x + -38
(42 + -36x) = 4x + -38

Reorder the terms:
42 + -36x = -38 + 4x

Solving
42 + -36x = -38 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
42 + -36x + -4x = -38 + 4x + -4x

Combine like terms: -36x + -4x = -40x
42 + -40x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + -40x = -38 + 0
42 + -40x = -38

Add '-42' to each side of the equation.
42 + -42 + -40x = -38 + -42

Combine like terms: 42 + -42 = 0
0 + -40x = -38 + -42
-40x = -38 + -42

Combine like terms: -38 + -42 = -80
-40x = -80

Divide each side by '-40'.
x = 2

Simplifying
x = 2

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