7(x+8)=2x-5

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Solution for 7(x+8)=2x-5 equation:


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

Reorder the terms:
7(8 + x) = 2x + -5
(8 * 7 + x * 7) = 2x + -5
(56 + 7x) = 2x + -5

Reorder the terms:
56 + 7x = -5 + 2x

Solving
56 + 7x = -5 + 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.
56 + 7x + -2x = -5 + 2x + -2x

Combine like terms: 7x + -2x = 5x
56 + 5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
56 + 5x = -5 + 0
56 + 5x = -5

Add '-56' to each side of the equation.
56 + -56 + 5x = -5 + -56

Combine like terms: 56 + -56 = 0
0 + 5x = -5 + -56
5x = -5 + -56

Combine like terms: -5 + -56 = -61
5x = -61

Divide each side by '5'.
x = -12.2

Simplifying
x = -12.2

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