-2x+22=5(3x+1)

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Solution for -2x+22=5(3x+1) equation:


Simplifying
-2x + 22 = 5(3x + 1)

Reorder the terms:
22 + -2x = 5(3x + 1)

Reorder the terms:
22 + -2x = 5(1 + 3x)
22 + -2x = (1 * 5 + 3x * 5)
22 + -2x = (5 + 15x)

Solving
22 + -2x = 5 + 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 + -2x + -15x = 5 + 15x + -15x

Combine like terms: -2x + -15x = -17x
22 + -17x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
22 + -17x = 5 + 0
22 + -17x = 5

Add '-22' to each side of the equation.
22 + -22 + -17x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + -17x = 5 + -22
-17x = 5 + -22

Combine like terms: 5 + -22 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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