-7x+38=2(x-8)

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Solution for -7x+38=2(x-8) equation:


Simplifying
-7x + 38 = 2(x + -8)

Reorder the terms:
38 + -7x = 2(x + -8)

Reorder the terms:
38 + -7x = 2(-8 + x)
38 + -7x = (-8 * 2 + x * 2)
38 + -7x = (-16 + 2x)

Solving
38 + -7x = -16 + 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 + -7x + -2x = -16 + 2x + -2x

Combine like terms: -7x + -2x = -9x
38 + -9x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
38 + -9x = -16 + 0
38 + -9x = -16

Add '-38' to each side of the equation.
38 + -38 + -9x = -16 + -38

Combine like terms: 38 + -38 = 0
0 + -9x = -16 + -38
-9x = -16 + -38

Combine like terms: -16 + -38 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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