7(x-4)=2+8x

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Solution for 7(x-4)=2+8x equation:


Simplifying
7(x + -4) = 2 + 8x

Reorder the terms:
7(-4 + x) = 2 + 8x
(-4 * 7 + x * 7) = 2 + 8x
(-28 + 7x) = 2 + 8x

Solving
-28 + 7x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-28 + 7x + -8x = 2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-28 + -1x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + -1x = 2 + 0
-28 + -1x = 2

Add '28' to each side of the equation.
-28 + 28 + -1x = 2 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 2 + 28
-1x = 2 + 28

Combine like terms: 2 + 28 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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