22+8x=-5+3(5x-5)

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Solution for 22+8x=-5+3(5x-5) equation:


Simplifying
22 + 8x = -5 + 3(5x + -5)

Reorder the terms:
22 + 8x = -5 + 3(-5 + 5x)
22 + 8x = -5 + (-5 * 3 + 5x * 3)
22 + 8x = -5 + (-15 + 15x)

Combine like terms: -5 + -15 = -20
22 + 8x = -20 + 15x

Solving
22 + 8x = -20 + 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.
22 + 8x + -15x = -20 + 15x + -15x

Combine like terms: 8x + -15x = -7x
22 + -7x = -20 + 15x + -15x

Combine like terms: 15x + -15x = 0
22 + -7x = -20 + 0
22 + -7x = -20

Add '-22' to each side of the equation.
22 + -22 + -7x = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -20 + -22
-7x = -20 + -22

Combine like terms: -20 + -22 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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