8(x+5)=2(x+41)

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Solution for 8(x+5)=2(x+41) equation:


Simplifying
8(x + 5) = 2(x + 41)

Reorder the terms:
8(5 + x) = 2(x + 41)
(5 * 8 + x * 8) = 2(x + 41)
(40 + 8x) = 2(x + 41)

Reorder the terms:
40 + 8x = 2(41 + x)
40 + 8x = (41 * 2 + x * 2)
40 + 8x = (82 + 2x)

Solving
40 + 8x = 82 + 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 = 82 + 2x + -2x

Combine like terms: 8x + -2x = 6x
40 + 6x = 82 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + 6x = 82 + 0
40 + 6x = 82

Add '-40' to each side of the equation.
40 + -40 + 6x = 82 + -40

Combine like terms: 40 + -40 = 0
0 + 6x = 82 + -40
6x = 82 + -40

Combine like terms: 82 + -40 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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