-38-7x=-6(7x-5)+2

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Solution for -38-7x=-6(7x-5)+2 equation:


Simplifying
-38 + -7x = -6(7x + -5) + 2

Reorder the terms:
-38 + -7x = -6(-5 + 7x) + 2
-38 + -7x = (-5 * -6 + 7x * -6) + 2
-38 + -7x = (30 + -42x) + 2

Reorder the terms:
-38 + -7x = 30 + 2 + -42x

Combine like terms: 30 + 2 = 32
-38 + -7x = 32 + -42x

Solving
-38 + -7x = 32 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
-38 + -7x + 42x = 32 + -42x + 42x

Combine like terms: -7x + 42x = 35x
-38 + 35x = 32 + -42x + 42x

Combine like terms: -42x + 42x = 0
-38 + 35x = 32 + 0
-38 + 35x = 32

Add '38' to each side of the equation.
-38 + 38 + 35x = 32 + 38

Combine like terms: -38 + 38 = 0
0 + 35x = 32 + 38
35x = 32 + 38

Combine like terms: 32 + 38 = 70
35x = 70

Divide each side by '35'.
x = 2

Simplifying
x = 2

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