7x+38=2(x-6)

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


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

Reorder the terms:
38 + 7x = 2(x + -6)

Reorder the terms:
38 + 7x = 2(-6 + x)
38 + 7x = (-6 * 2 + x * 2)
38 + 7x = (-12 + 2x)

Solving
38 + 7x = -12 + 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 = -12 + 2x + -2x

Combine like terms: 7x + -2x = 5x
38 + 5x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
38 + 5x = -12 + 0
38 + 5x = -12

Add '-38' to each side of the equation.
38 + -38 + 5x = -12 + -38

Combine like terms: 38 + -38 = 0
0 + 5x = -12 + -38
5x = -12 + -38

Combine like terms: -12 + -38 = -50
5x = -50

Divide each side by '5'.
x = -10

Simplifying
x = -10

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