22x+3=3(5x-2)+7+9

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Solution for 22x+3=3(5x-2)+7+9 equation:


Simplifying
22x + 3 = 3(5x + -2) + 7 + 9

Reorder the terms:
3 + 22x = 3(5x + -2) + 7 + 9

Reorder the terms:
3 + 22x = 3(-2 + 5x) + 7 + 9
3 + 22x = (-2 * 3 + 5x * 3) + 7 + 9
3 + 22x = (-6 + 15x) + 7 + 9

Reorder the terms:
3 + 22x = -6 + 7 + 9 + 15x

Combine like terms: -6 + 7 = 1
3 + 22x = 1 + 9 + 15x

Combine like terms: 1 + 9 = 10
3 + 22x = 10 + 15x

Solving
3 + 22x = 10 + 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.
3 + 22x + -15x = 10 + 15x + -15x

Combine like terms: 22x + -15x = 7x
3 + 7x = 10 + 15x + -15x

Combine like terms: 15x + -15x = 0
3 + 7x = 10 + 0
3 + 7x = 10

Add '-3' to each side of the equation.
3 + -3 + 7x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 10 + -3
7x = 10 + -3

Combine like terms: 10 + -3 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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