8(x-5)=2x+2

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Solution for 8(x-5)=2x+2 equation:


Simplifying
8(x + -5) = 2x + 2

Reorder the terms:
8(-5 + x) = 2x + 2
(-5 * 8 + x * 8) = 2x + 2
(-40 + 8x) = 2x + 2

Reorder the terms:
-40 + 8x = 2 + 2x

Solving
-40 + 8x = 2 + 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.
-40 + 8x + -2x = 2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-40 + 6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 6x = 2 + 0
-40 + 6x = 2

Add '40' to each side of the equation.
-40 + 40 + 6x = 2 + 40

Combine like terms: -40 + 40 = 0
0 + 6x = 2 + 40
6x = 2 + 40

Combine like terms: 2 + 40 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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