7x=8-5(3x-8)

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Solution for 7x=8-5(3x-8) equation:


Simplifying
7x = 8 + -5(3x + -8)

Reorder the terms:
7x = 8 + -5(-8 + 3x)
7x = 8 + (-8 * -5 + 3x * -5)
7x = 8 + (40 + -15x)

Combine like terms: 8 + 40 = 48
7x = 48 + -15x

Solving
7x = 48 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
7x + 15x = 48 + -15x + 15x

Combine like terms: 7x + 15x = 22x
22x = 48 + -15x + 15x

Combine like terms: -15x + 15x = 0
22x = 48 + 0
22x = 48

Divide each side by '22'.
x = 2.181818182

Simplifying
x = 2.181818182

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