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

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


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

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

Reorder the terms:
38 = 42 + -4x + 6x

Combine like terms: -4x + 6x = 2x
38 = 42 + 2x

Solving
38 = 42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
38 + -2x = 42 + 2x + -2x

Combine like terms: 2x + -2x = 0
38 + -2x = 42 + 0
38 + -2x = 42

Add '-38' to each side of the equation.
38 + -38 + -2x = 42 + -38

Combine like terms: 38 + -38 = 0
0 + -2x = 42 + -38
-2x = 42 + -38

Combine like terms: 42 + -38 = 4
-2x = 4

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

Simplifying
x = -2

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