-4(3x-2)=38-7x

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Solution for -4(3x-2)=38-7x equation:


Simplifying
-4(3x + -2) = 38 + -7x

Reorder the terms:
-4(-2 + 3x) = 38 + -7x
(-2 * -4 + 3x * -4) = 38 + -7x
(8 + -12x) = 38 + -7x

Solving
8 + -12x = 38 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + -12x + 7x = 38 + -7x + 7x

Combine like terms: -12x + 7x = -5x
8 + -5x = 38 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + -5x = 38 + 0
8 + -5x = 38

Add '-8' to each side of the equation.
8 + -8 + -5x = 38 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 38 + -8
-5x = 38 + -8

Combine like terms: 38 + -8 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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