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

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


Simplifying
3x + 5(3 + -1x) + a = 22 + -5x
3x + (3 * 5 + -1x * 5) + a = 22 + -5x
3x + (15 + -5x) + a = 22 + -5x

Reorder the terms:
15 + a + 3x + -5x = 22 + -5x

Combine like terms: 3x + -5x = -2x
15 + a + -2x = 22 + -5x

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

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + a + -15 + -2x = 22 + -15 + -5x

Reorder the terms:
15 + -15 + a + -2x = 22 + -15 + -5x

Combine like terms: 15 + -15 = 0
0 + a + -2x = 22 + -15 + -5x
a + -2x = 22 + -15 + -5x

Combine like terms: 22 + -15 = 7
a + -2x = 7 + -5x

Add '2x' to each side of the equation.
a + -2x + 2x = 7 + -5x + 2x

Combine like terms: -2x + 2x = 0
a + 0 = 7 + -5x + 2x
a = 7 + -5x + 2x

Combine like terms: -5x + 2x = -3x
a = 7 + -3x

Simplifying
a = 7 + -3x

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