2x+5=7(x-8)

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


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

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

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

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

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

Combine like terms: 7x + -7x = 0
5 + -5x = -56 + 0
5 + -5x = -56

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

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

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

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

Simplifying
x = 12.2

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