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

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


Simplifying
38 + -1(x + 8) = 7x + -2

Reorder the terms:
38 + -1(8 + x) = 7x + -2
38 + (8 * -1 + x * -1) = 7x + -2
38 + (-8 + -1x) = 7x + -2

Combine like terms: 38 + -8 = 30
30 + -1x = 7x + -2

Reorder the terms:
30 + -1x = -2 + 7x

Solving
30 + -1x = -2 + 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.
30 + -1x + -7x = -2 + 7x + -7x

Combine like terms: -1x + -7x = -8x
30 + -8x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -8x = -2 + 0
30 + -8x = -2

Add '-30' to each side of the equation.
30 + -30 + -8x = -2 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -2 + -30
-8x = -2 + -30

Combine like terms: -2 + -30 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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