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

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


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

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

Combine like terms: 7x + -3x = 4x
9 + 4x = 3 + -5(x + -3)

Reorder the terms:
9 + 4x = 3 + -5(-3 + x)
9 + 4x = 3 + (-3 * -5 + x * -5)
9 + 4x = 3 + (15 + -5x)

Combine like terms: 3 + 15 = 18
9 + 4x = 18 + -5x

Solving
9 + 4x = 18 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + 4x + 5x = 18 + -5x + 5x

Combine like terms: 4x + 5x = 9x
9 + 9x = 18 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 9x = 18 + 0
9 + 9x = 18

Add '-9' to each side of the equation.
9 + -9 + 9x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 18 + -9
9x = 18 + -9

Combine like terms: 18 + -9 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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